Core CPU Benchmarks

Note
  • The linear solver is MUMPS for CPU experiments and CUDSS for GPU experiments.
  • Below you can find Dolan–Moré performance profiles comparing solver–model combinations on the set of optimal control problems and grid sizes. For a detailed explanation of how to read these profiles, see the Performance Profiles page.

Ubuntu Latest

This benchmark suite evaluates optimal control problems on a standard CPU platform using GitHub Actions runners.

⚙️ Configuration

  • Problems: balanced_field, beam, brachistochrone, bryson_denham, chain, dielectrophoretic_particle, double_oscillator, ducted_fan, electric_vehicle, glider, insurance, jackson, mountain_car, robbins, robot, rocket, space_shuttle, steering, vanderpol

  • Solvers: ipopt, madnlp

  • Models: adnlp, exa, jump

  • Grid sizes: 200, 500, 1000 discretization points

  • Discretization: trapeze method

  • Tolerance: 1.0e-8

  • Ipopt strategy: adaptive barrier parameter

  • Limits: 1000 iterations max, 500.0s wall time

🖥️ Environment

📅 Timestamp     : 2026-03-11 14:47:54 UTC
🔧 Julia version : 1.12.5
💻 OS            : Linux
🖥️ Machine       : runnervm0kj6c

You can download the exact environment used for this benchmark:

These files allow you to reproduce the benchmark environment and results exactly.

Julia Version 1.12.5
Commit 5fe89b8ddc1 (2026-02-09 16:05 UTC)
Build Info:
  Official https://julialang.org release
Platform Info:
  OS: Linux (x86_64-linux-gnu)
  CPU: 4 × AMD EPYC 7763 64-Core Processor
  WORD_SIZE: 64
  LLVM: libLLVM-18.1.7 (ORCJIT, znver3)
  GC: Built with stock GC
Threads: 1 default, 1 interactive, 1 GC (on 4 virtual cores)
Environment:
  JULIA_PKG_SERVER_REGISTRY_PREFERENCE = eager
Project CTBenchmarks v0.4.1
Status `~/work/CTBenchmarks.jl/CTBenchmarks.jl/Project.toml`
  [6e4b80f9] BenchmarkTools v1.6.3
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Info Packages marked with  have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated`
Project CTBenchmarks v0.4.1
Status `~/work/CTBenchmarks.jl/CTBenchmarks.jl/Manifest.toml`
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Info Packages marked with  and  have new versions available. Those with  may be upgradable, but those with  are restricted by compatibility constraints from upgrading. To see why use `status --outdated -m`

📈 Performance Profile CPU Time

Performance Profile Analysis

Dataset overview for core-ubuntu-latest:

  • Problems: 19 unique optimal control problems
  • Instances: 57
  • Solver combos: 6

Profile configuration:

  • Instance definition: (problem, grid_size)
  • Solver combos definition: (model, solver)
  • Criterion: CPU time
  • Successful runs: 334/342 (97.7%)
  • Successful instances: 57/57 (100.0%)
  • Unsuccessful instances: none (every instance had at least one successful run)

Robustness (% of instances solved):

  • (jump, ipopt): 98.2%
  • (adnlp, ipopt): 98.2%
  • (exa, ipopt): 98.2%
  • (jump, madnlp): 100.0%
  • (adnlp, madnlp): 91.2%
  • (exa, madnlp): 100.0%

Efficiency (% of instances where fastest):

  • (jump, ipopt): 3.5%
  • (adnlp, ipopt): 0.0%
  • (exa, ipopt): 21.1%
  • (jump, madnlp): 17.5%
  • (adnlp, madnlp): 0.0%
  • (exa, madnlp): 57.9%

Most robust: 2 combinations tied at 100.0%.

Most efficient: (exa, madnlp) was fastest on 57.9% of instances.

📈 Performance Profile CPU Time: two best combos

Performance Profile Analysis

Dataset overview for core-ubuntu-latest:

  • Problems: 19 unique optimal control problems
  • Instances: 57
  • Solver combos: 2

Profile configuration:

  • Instance definition: (problem, grid_size)
  • Solver combos definition: (model, solver)
  • Criterion: CPU time
  • Successful runs: 113/114 (99.1%)
  • Successful instances: 57/57 (100.0%)
  • Unsuccessful instances: none (every instance had at least one successful run)

Robustness (% of instances solved):

  • (exa, ipopt): 98.2%
  • (exa, madnlp): 100.0%

Efficiency (% of instances where fastest):

  • (exa, ipopt): 24.6%
  • (exa, madnlp): 75.4%

Most robust: (exa, madnlp) solved 100.0% of instances.

Most efficient: (exa, madnlp) was fastest on 75.4% of instances.

📈 Performance Profile Iterations

Performance Profile Analysis

Dataset overview for core-ubuntu-latest:

  • Problems: 19 unique optimal control problems
  • Instances: 57
  • Solver combos: 6

Profile configuration:

  • Instance definition: (problem, grid_size)
  • Solver combos definition: (model, solver)
  • Criterion: Iterations
  • Successful runs: 334/342 (97.7%)
  • Successful instances: 57/57 (100.0%)
  • Unsuccessful instances: none (every instance had at least one successful run)

Robustness (% of instances solved):

  • (jump, ipopt): 98.2%
  • (adnlp, ipopt): 98.2%
  • (exa, ipopt): 98.2%
  • (jump, madnlp): 100.0%
  • (adnlp, madnlp): 91.2%
  • (exa, madnlp): 100.0%

Efficiency (% of instances where fastest):

  • (jump, ipopt): 75.4%
  • (adnlp, ipopt): 77.2%
  • (exa, ipopt): 75.4%
  • (jump, madnlp): 35.1%
  • (adnlp, madnlp): 31.6%
  • (exa, madnlp): 29.8%

Most robust: 2 combinations tied at 100.0%.

Most efficient: (adnlp, ipopt) was fastest on 77.2% of instances.

📊 Tables of Results


SuccessNModelSolverTime (ms)ItersObjectiveCriterionBest
200adnlpipopt104.57417771.011400min
200adnlpmadnlp135.06623771.011400min
200exaipopt38.82917771.011400min
200examadnlp39.28423771.011400min
200jumpipopt70.98817771.011400min
200jumpmadnlp105.92823771.011400min
SuccessNModelSolverTime (ms)ItersObjectiveCriterionBest
500adnlpipopt316.33220771.008497min
500adnlpmadnlp448.40025771.008498min
500exaipopt106.13020771.008497min
500examadnlp104.90825771.008498min
500jumpipopt230.32720771.008497min
500jumpmadnlp355.43025771.008498min
SuccessNModelSolverTime (ms)ItersObjectiveCriterionBest
1000adnlpipopt832.64220771.008007min
1000adnlpmadnlpN/AN/AN/AN/A
1000exaipopt218.60320771.008007min
1000examadnlp204.52523771.008010min
1000jumpipopt620.98320771.008007min
1000jumpmadnlp747.06123771.008010min
Benchmarks results:

┌─ Problem: balanced_field
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  70.988 ms | iters: 17    | obj: 7.710114e+02  (min) | CPU:  22.70 KiB
│  │  ✓ | adnlp    | time: 104.574 ms | iters: 17    | obj: 7.710114e+02  (min) | CPU:  23.00 MiB
│  │  ✓ | exa      | time:  38.829 ms | iters: 17    | obj: 7.710114e+02  (min) | CPU: 129.11 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time: 230.327 ms | iters: 20    | obj: 7.710085e+02  (min) | CPU:  26.41 KiB
│  │  ✓ | adnlp    | time: 316.332 ms | iters: 20    | obj: 7.710085e+02  (min) | CPU:  66.32 MiB
│  │  ✓ | exa      | time: 106.130 ms | iters: 20    | obj: 7.710085e+02  (min) | CPU: 242.58 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time: 620.983 ms | iters: 20    | obj: 7.710080e+02  (min) | CPU:  26.41 KiB
│  │  ✓ | adnlp    | time: 832.642 ms | iters: 20    | obj: 7.710080e+02  (min) | CPU: 132.40 MiB
│  │  ✓ | exa      | time: 218.603 ms | iters: 20    | obj: 7.710080e+02  (min) | CPU: 425.95 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time: 105.928 ms | iters: 23    | obj: 7.710114e+02  (min) | CPU:  31.45 MiB
│  │  ✓ | adnlp    | time: 135.066 ms | iters: 23    | obj: 7.710114e+02  (min) | CPU:  34.07 MiB
│  │  ✓ | exa      | time:  39.284 ms | iters: 23    | obj: 7.710114e+02  (min) | CPU:   5.62 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time: 355.430 ms | iters: 25    | obj: 7.710085e+02  (min) | CPU:  82.24 MiB
│  │  ✓ | adnlp    | time: 448.400 ms | iters: 25    | obj: 7.710085e+02  (min) | CPU:  90.93 MiB
│  │  ✓ | exa      | time: 104.908 ms | iters: 25    | obj: 7.710085e+02  (min) | CPU:  14.01 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time: 747.061 ms | iters: 23    | obj: 7.710080e+02  (min) | CPU: 164.44 MiB
│  │  ✗ | adnlp   : ERROR: DomainError(Inf, "sincos(x) is only defined for finite x.")
│  │  ✓ | exa      | time: 204.525 ms | iters: 23    | obj: 7.710080e+02  (min) | CPU:  26.92 MiB
│  └─
└─

┌─ Problem: beam
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  15.256 ms | iters: 16    | obj: 8.891335e+00  (min) | CPU:  10.16 KiB
│  │  ✓ | adnlp    | time:  19.837 ms | iters: 16    | obj: 8.891335e+00  (min) | CPU:   2.37 MiB
│  │  ✓ | exa      | time:  15.021 ms | iters: 16    | obj: 8.891335e+00  (min) | CPU:  72.55 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  35.691 ms | iters: 18    | obj: 8.889282e+00  (min) | CPU:  11.16 KiB
│  │  ✓ | adnlp    | time:  46.942 ms | iters: 18    | obj: 8.889282e+00  (min) | CPU:   6.47 MiB
│  │  ✓ | exa      | time:  35.009 ms | iters: 18    | obj: 8.889282e+00  (min) | CPU: 137.67 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time: 105.623 ms | iters: 30    | obj: 8.888987e+00  (min) | CPU:  17.16 KiB
│  │  ✓ | adnlp    | time: 150.207 ms | iters: 33    | obj: 8.888988e+00  (min) | CPU:  22.54 MiB
│  │  ✓ | exa      | time: 113.007 ms | iters: 33    | obj: 8.888987e+00  (min) | CPU: 258.83 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  11.525 ms | iters: 21    | obj: 8.891335e+00  (min) | CPU:   1.95 MiB
│  │  ✓ | adnlp    | time:  17.244 ms | iters: 21    | obj: 8.891335e+00  (min) | CPU:   4.59 MiB
│  │  ✓ | exa      | time:  12.300 ms | iters: 21    | obj: 8.891335e+00  (min) | CPU:   1.76 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  22.487 ms | iters: 18    | obj: 8.889282e+00  (min) | CPU:   4.13 MiB
│  │  ✓ | adnlp    | time:  34.519 ms | iters: 18    | obj: 8.889282e+00  (min) | CPU:   9.81 MiB
│  │  ✓ | exa      | time:  23.049 ms | iters: 18    | obj: 8.889282e+00  (min) | CPU:   3.74 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  64.450 ms | iters: 28    | obj: 8.888987e+00  (min) | CPU:  10.33 MiB
│  │  ✓ | adnlp    | time:  94.578 ms | iters: 26    | obj: 8.888987e+00  (min) | CPU:  26.25 MiB
│  │  ✓ | exa      | time:  67.005 ms | iters: 28    | obj: 8.888987e+00  (min) | CPU:   9.47 MiB
│  └─
└─

┌─ Problem: brachistochrone
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  44.234 ms | iters: 19    | obj: 1.802935e+00  (min) | CPU:  25.17 KiB
│  │  ✓ | adnlp    | time:  64.306 ms | iters: 19    | obj: 1.802935e+00  (min) | CPU:  28.07 MiB
│  │  ✓ | exa      | time:  30.437 ms | iters: 19    | obj: 1.802935e+00  (min) | CPU:  96.05 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time: 109.194 ms | iters: 18    | obj: 1.802932e+00  (min) | CPU:  24.19 KiB
│  │  ✓ | adnlp    | time: 144.036 ms | iters: 18    | obj: 1.802932e+00  (min) | CPU:  66.85 MiB
│  │  ✓ | exa      | time:  61.043 ms | iters: 18    | obj: 1.802932e+00  (min) | CPU: 182.03 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time: 243.891 ms | iters: 20    | obj: 1.802932e+00  (min) | CPU:  26.41 KiB
│  │  ✓ | adnlp    | time: 333.437 ms | iters: 20    | obj: 1.802932e+00  (min) | CPU: 146.10 MiB
│  │  ✓ | exa      | time: 136.338 ms | iters: 20    | obj: 1.802932e+00  (min) | CPU: 328.33 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  43.693 ms | iters: 20    | obj: 1.802935e+00  (min) | CPU:  14.31 MiB
│  │  ✓ | adnlp    | time:  59.311 ms | iters: 20    | obj: 1.802935e+00  (min) | CPU:  31.76 MiB
│  │  ✓ | exa      | time:  24.081 ms | iters: 20    | obj: 1.802935e+00  (min) | CPU:   2.88 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time: 127.776 ms | iters: 21    | obj: 1.802932e+00  (min) | CPU:  35.95 MiB
│  │  ✓ | adnlp    | time: 155.635 ms | iters: 21    | obj: 1.802932e+00  (min) | CPU:  82.13 MiB
│  │  ✓ | exa      | time:  59.412 ms | iters: 21    | obj: 1.802932e+00  (min) | CPU:   6.87 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time: 381.493 ms | iters: 21    | obj: 1.802932e+00  (min) | CPU:  70.50 MiB
│  │  ✗ | adnlp   : ERROR: DomainError(-Inf, "sincos(x) is only defined for finite x.")
│  │  ✓ | exa      | time: 124.542 ms | iters: 21    | obj: 1.802932e+00  (min) | CPU:  13.50 MiB
│  └─
└─

┌─ Problem: bryson_denham
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  13.057 ms | iters: 13    | obj: 4.000889e+00  (min) | CPU:   8.66 KiB
│  │  ✓ | adnlp    | time:  16.870 ms | iters: 13    | obj: 4.000889e+00  (min) | CPU:   1.97 MiB
│  │  ✓ | exa      | time:  12.465 ms | iters: 13    | obj: 4.000889e+00  (min) | CPU:  69.45 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  31.734 ms | iters: 16    | obj: 4.000143e+00  (min) | CPU:  10.16 KiB
│  │  ✓ | adnlp    | time:  42.080 ms | iters: 16    | obj: 4.000143e+00  (min) | CPU:   5.82 MiB
│  │  ✓ | exa      | time:  30.353 ms | iters: 16    | obj: 4.000143e+00  (min) | CPU: 135.61 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  76.950 ms | iters: 22    | obj: 4.000037e+00  (min) | CPU:  13.16 KiB
│  │  ✓ | adnlp    | time: 110.605 ms | iters: 22    | obj: 4.000037e+00  (min) | CPU:  15.45 MiB
│  │  ✓ | exa      | time:  76.052 ms | iters: 22    | obj: 4.000037e+00  (min) | CPU: 247.48 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:   8.599 ms | iters: 15    | obj: 4.000889e+00  (min) | CPU:   1.53 MiB
│  │  ✓ | adnlp    | time:  13.201 ms | iters: 15    | obj: 4.000889e+00  (min) | CPU:   3.39 MiB
│  │  ✓ | exa      | time:   8.898 ms | iters: 15    | obj: 4.000889e+00  (min) | CPU:   1.33 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  21.047 ms | iters: 17    | obj: 4.000144e+00  (min) | CPU:   3.63 MiB
│  │  ✓ | adnlp    | time:  37.997 ms | iters: 19    | obj: 4.000143e+00  (min) | CPU:  10.00 MiB
│  │  ✓ | exa      | time:  23.097 ms | iters: 18    | obj: 4.000143e+00  (min) | CPU:   3.33 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  59.100 ms | iters: 25    | obj: 4.000036e+00  (min) | CPU:   8.64 MiB
│  │  ✓ | adnlp    | time:  89.278 ms | iters: 23    | obj: 4.000036e+00  (min) | CPU:  22.68 MiB
│  │  ✓ | exa      | time:  54.981 ms | iters: 23    | obj: 4.000036e+00  (min) | CPU:   7.35 MiB
│  └─
└─

┌─ Problem: chain
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  14.029 ms | iters: 7     | obj: 5.068917e+00  (min) | CPU:  10.36 KiB
│  │  ✓ | adnlp    | time:  15.991 ms | iters: 7     | obj: 5.068917e+00  (min) | CPU:   4.40 MiB
│  │  ✓ | exa      | time:   9.547 ms | iters: 7     | obj: 5.068917e+00  (min) | CPU:  70.12 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  62.463 ms | iters: 14    | obj: 5.068578e+00  (min) | CPU:  20.50 KiB
│  │  ✓ | adnlp    | time:  71.452 ms | iters: 14    | obj: 5.068578e+00  (min) | CPU:  20.40 MiB
│  │  ✓ | exa      | time:  41.089 ms | iters: 14    | obj: 5.068578e+00  (min) | CPU: 146.62 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  65.119 ms | iters: 6     | obj: 5.068510e+00  (min) | CPU:   9.12 KiB
│  │  ✓ | adnlp    | time:  72.866 ms | iters: 6     | obj: 5.068510e+00  (min) | CPU:  19.35 MiB
│  │  ✓ | exa      | time:  39.702 ms | iters: 6     | obj: 5.068510e+00  (min) | CPU: 250.34 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  14.564 ms | iters: 7     | obj: 5.068917e+00  (min) | CPU:   7.19 MiB
│  │  ✓ | adnlp    | time:  14.180 ms | iters: 7     | obj: 5.068917e+00  (min) | CPU:   5.53 MiB
│  │  ✓ | exa      | time:   8.006 ms | iters: 7     | obj: 5.068917e+00  (min) | CPU:   1.43 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  60.679 ms | iters: 14    | obj: 5.068578e+00  (min) | CPU:  19.22 MiB
│  │  ✓ | adnlp    | time:  63.835 ms | iters: 14    | obj: 5.068578e+00  (min) | CPU:  23.67 MiB
│  │  ✓ | exa      | time:  35.921 ms | iters: 14    | obj: 5.068578e+00  (min) | CPU:   3.98 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  65.547 ms | iters: 6     | obj: 5.068510e+00  (min) | CPU:  37.98 MiB
│  │  ✓ | adnlp    | time:  53.376 ms | iters: 6     | obj: 5.068510e+00  (min) | CPU:  24.41 MiB
│  │  ✓ | exa      | time:  30.804 ms | iters: 6     | obj: 5.068510e+00  (min) | CPU:   6.42 MiB
│  └─
└─

┌─ Problem: dielectrophoretic_particle
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  18.708 ms | iters: 12    | obj: 7.811387e+00  (min) | CPU:  17.03 KiB
│  │  ✓ | adnlp    | time:  28.254 ms | iters: 12    | obj: 7.811387e+00  (min) | CPU:   7.29 MiB
│  │  ✓ | exa      | time:  13.132 ms | iters: 12    | obj: 7.811387e+00  (min) | CPU:  72.77 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  40.707 ms | iters: 13    | obj: 7.811324e+00  (min) | CPU:  17.77 KiB
│  │  ✓ | adnlp    | time:  66.343 ms | iters: 13    | obj: 7.811324e+00  (min) | CPU:  19.13 MiB
│  │  ✓ | exa      | time:  29.800 ms | iters: 13    | obj: 7.811324e+00  (min) | CPU: 136.45 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  83.302 ms | iters: 13    | obj: 7.811314e+00  (min) | CPU:  17.77 KiB
│  │  ✓ | adnlp    | time: 144.393 ms | iters: 13    | obj: 7.811314e+00  (min) | CPU:  38.15 MiB
│  │  ✓ | exa      | time:  58.515 ms | iters: 13    | obj: 7.811314e+00  (min) | CPU: 242.14 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  15.484 ms | iters: 13    | obj: 7.811387e+00  (min) | CPU:   6.83 MiB
│  │  ✓ | adnlp    | time:  25.143 ms | iters: 13    | obj: 7.811387e+00  (min) | CPU:   9.15 MiB
│  │  ✓ | exa      | time:   9.449 ms | iters: 13    | obj: 7.811387e+00  (min) | CPU:   1.95 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  41.507 ms | iters: 15    | obj: 7.811325e+00  (min) | CPU:  16.68 MiB
│  │  ✓ | adnlp    | time:  71.920 ms | iters: 15    | obj: 7.811325e+00  (min) | CPU:  25.28 MiB
│  │  ✓ | exa      | time:  24.364 ms | iters: 15    | obj: 7.811325e+00  (min) | CPU:   4.79 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  95.198 ms | iters: 16    | obj: 7.811315e+00  (min) | CPU:  34.32 MiB
│  │  ✓ | adnlp    | time: 195.427 ms | iters: 16    | obj: 7.811315e+00  (min) | CPU:  53.10 MiB
│  │  ✓ | exa      | time:  52.431 ms | iters: 16    | obj: 7.811315e+00  (min) | CPU:   9.63 MiB
│  └─
└─

┌─ Problem: double_oscillator
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  10.019 ms | iters: 5     | obj: 9.103362e-04  (min) | CPU:   7.89 KiB
│  │  ✓ | adnlp    | time:  18.251 ms | iters: 5     | obj: 9.103362e-04  (min) | CPU:   5.19 MiB
│  │  ✓ | exa      | time:  11.104 ms | iters: 5     | obj: 9.103362e-04  (min) | CPU: 102.86 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  21.584 ms | iters: 5     | obj: 9.109230e-04  (min) | CPU:   7.89 KiB
│  │  ✓ | adnlp    | time:  42.850 ms | iters: 5     | obj: 9.109230e-04  (min) | CPU:  12.91 MiB
│  │  ✓ | exa      | time:  25.429 ms | iters: 5     | obj: 9.109230e-04  (min) | CPU: 213.23 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  41.223 ms | iters: 5     | obj: 9.110069e-04  (min) | CPU:   7.89 KiB
│  │  ✓ | adnlp    | time:  87.945 ms | iters: 5     | obj: 9.110069e-04  (min) | CPU:  25.77 MiB
│  │  ✓ | exa      | time:  49.162 ms | iters: 5     | obj: 9.110069e-04  (min) | CPU: 396.61 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:   8.010 ms | iters: 5     | obj: 9.103362e-04  (min) | CPU:   2.39 MiB
│  │  ✓ | adnlp    | time:  16.799 ms | iters: 5     | obj: 9.103362e-04  (min) | CPU:   6.78 MiB
│  │  ✓ | exa      | time:   7.976 ms | iters: 5     | obj: 9.103362e-04  (min) | CPU:   2.71 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  20.183 ms | iters: 6     | obj: 9.109230e-04  (min) | CPU:   5.77 MiB
│  │  ✓ | adnlp    | time:  48.611 ms | iters: 6     | obj: 9.109230e-04  (min) | CPU:  18.77 MiB
│  │  ✓ | exa      | time:  21.648 ms | iters: 6     | obj: 9.109230e-04  (min) | CPU:   6.72 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  39.742 ms | iters: 6     | obj: 9.110069e-04  (min) | CPU:  11.60 MiB
│  │  ✓ | adnlp    | time:  99.527 ms | iters: 6     | obj: 9.110069e-04  (min) | CPU:  37.36 MiB
│  │  ✓ | exa      | time:  43.155 ms | iters: 6     | obj: 9.110069e-04  (min) | CPU:  13.26 MiB
│  └─
└─

┌─ Problem: ducted_fan
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time: 703.211 ms | iters: 92    | obj: 1.831942e+03  (min) | CPU: 121.25 KiB
│  │  ✓ | adnlp    | time: 949.812 ms | iters: 94    | obj: 1.831942e+03  (min) | CPU: 115.43 MiB
│  │  ✓ | exa      | time: 502.165 ms | iters: 92    | obj: 1.831942e+03  (min) | CPU: 254.80 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:   1.350 s  | iters: 53    | obj: 1.831665e+03  (min) | CPU:  69.05 KiB
│  │  ✓ | adnlp    | time:   3.442 s  | iters: 117   | obj: 1.831665e+03  (min) | CPU: 354.63 MiB
│  │  ✓ | exa      | time:   1.994 s  | iters: 141   | obj: 1.831665e+03  (min) | CPU: 483.64 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:   7.777 s  | iters: 131   | obj: 1.831623e+03  (min) | CPU: 187.27 KiB
│  │  ✓ | adnlp    | time:  14.753 s  | iters: 188   | obj: 1.831623e+03  (min) | CPU:   1.16 GiB
│  │  ✓ | exa      | time:  16.018 s  | iters: 301   | obj: 1.831623e+03  (min) | CPU: 955.38 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time: 185.514 ms | iters: 41    | obj: 1.831942e+03  (min) | CPU:  23.30 MiB
│  │  ✓ | adnlp    | time: 271.035 ms | iters: 41    | obj: 1.831942e+03  (min) | CPU:  61.09 MiB
│  │  ✓ | exa      | time: 154.781 ms | iters: 41    | obj: 1.831942e+03  (min) | CPU:   9.51 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:   1.109 s  | iters: 94    | obj: 1.831665e+03  (min) | CPU:  85.70 MiB
│  │  ✓ | adnlp    | time:   3.819 s  | iters: 202   | obj: 1.831665e+03  (min) | CPU: 798.62 MiB
│  │  ✓ | exa      | time: 688.090 ms | iters: 94    | obj: 1.831665e+03  (min) | CPU:  51.82 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:   1.958 s  | iters: 74    | obj: 1.831623e+03  (min) | CPU: 133.78 MiB
│  │  ✓ | adnlp    | time:   3.554 s  | iters: 79    | obj: 1.831623e+03  (min) | CPU: 568.06 MiB
│  │  ✓ | exa      | time:   1.811 s  | iters: 79    | obj: 1.831623e+03  (min) | CPU:  71.90 MiB
│  └─
└─

┌─ Problem: electric_vehicle
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:   6.147 ms | iters: 4     | obj: 1.228699e+03  (min) | CPU:   6.66 KiB
│  │  ✓ | adnlp    | time:   9.140 ms | iters: 4     | obj: 1.228699e+03  (min) | CPU:   2.71 MiB
│  │  ✓ | exa      | time:   4.533 ms | iters: 4     | obj: 1.228699e+03  (min) | CPU:  58.38 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  13.186 ms | iters: 4     | obj: 1.228599e+03  (min) | CPU:   6.66 KiB
│  │  ✓ | adnlp    | time:  20.826 ms | iters: 4     | obj: 1.228599e+03  (min) | CPU:   6.74 MiB
│  │  ✓ | exa      | time:   9.319 ms | iters: 4     | obj: 1.228599e+03  (min) | CPU: 107.44 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  25.144 ms | iters: 4     | obj: 1.228585e+03  (min) | CPU:   6.66 KiB
│  │  ✓ | adnlp    | time:  46.089 ms | iters: 4     | obj: 1.228585e+03  (min) | CPU:  13.44 MiB
│  │  ✓ | exa      | time:  17.263 ms | iters: 4     | obj: 1.228585e+03  (min) | CPU: 189.62 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:   7.554 ms | iters: 4     | obj: 1.228699e+03  (min) | CPU:   5.62 MiB
│  │  ✓ | adnlp    | time:   8.385 ms | iters: 4     | obj: 1.228699e+03  (min) | CPU:   3.53 MiB
│  │  ✓ | exa      | time:   3.556 ms | iters: 4     | obj: 1.228699e+03  (min) | CPU:   1.33 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  18.244 ms | iters: 4     | obj: 1.228599e+03  (min) | CPU:  13.73 MiB
│  │  ✓ | adnlp    | time:  19.735 ms | iters: 4     | obj: 1.228599e+03  (min) | CPU:   8.66 MiB
│  │  ✓ | exa      | time:   8.058 ms | iters: 4     | obj: 1.228599e+03  (min) | CPU:   3.14 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  36.445 ms | iters: 4     | obj: 1.228585e+03  (min) | CPU:  28.14 MiB
│  │  ✓ | adnlp    | time:  42.347 ms | iters: 4     | obj: 1.228585e+03  (min) | CPU:  17.19 MiB
│  │  ✓ | exa      | time:  15.059 ms | iters: 4     | obj: 1.228585e+03  (min) | CPU:   6.15 MiB
│  └─
└─

┌─ Problem: glider
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time: 548.303 ms | iters: 78    | obj: -1.248896e+03 (min) | CPU:  98.25 KiB
│  │  ✓ | adnlp    | time: 556.702 ms | iters: 78    | obj: -1.248896e+03 (min) | CPU:  76.78 MiB
│  │  ✓ | exa      | time: 314.886 ms | iters: 78    | obj: -1.248896e+03 (min) | CPU: 268.72 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  28.310 s  | iters: 68    | obj: -1.247978e+03 (min) | CPU:  88.16 KiB
│  │  ✓ | adnlp    | time:  24.834 s  | iters: 40    | obj: -1.247978e+03 (min) | CPU: 101.34 MiB
│  │  ✓ | exa      | time:  23.149 s  | iters: 68    | obj: -1.247978e+03 (min) | CPU: 370.61 KiB
│  │
│  │  N = 1000
│  │  ✗ | jump     | time: 503.776 s  | iters: 20    | obj: -1.058875e+03 (min) | CPU:  26.41 KiB
│  │  ✗ | adnlp    | time: 531.483 s  | iters: 19    | obj: -1.058874e+03 (min) | CPU:  99.01 MiB
│  │  ✗ | exa      | time: 539.281 s  | iters: 18    | obj: -1.058874e+03 (min) | CPU: 500.39 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time: 579.993 ms | iters: 92    | obj: -1.248896e+03 (min) | CPU:  56.83 MiB
│  │  ✓ | adnlp    | time: 544.469 ms | iters: 83    | obj: -1.248896e+03 (min) | CPU:  95.23 MiB
│  │  ✓ | exa      | time: 308.306 ms | iters: 112   | obj: -1.248896e+03 (min) | CPU:  14.30 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:   3.438 s  | iters: 182   | obj: -1.247978e+03 (min) | CPU: 162.29 MiB
│  │  ✓ | adnlp    | time:   3.370 s  | iters: 171   | obj: -1.247978e+03 (min) | CPU: 472.36 MiB
│  │  ✓ | exa      | time:   1.285 s  | iters: 172   | obj: -1.247978e+03 (min) | CPU:  49.93 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:   4.420 s  | iters: 107   | obj: -1.247985e+03 (min) | CPU: 289.82 MiB
│  │  ✓ | adnlp    | time:   8.058 s  | iters: 148   | obj: -1.247985e+03 (min) | CPU: 826.72 MiB
│  │  ✓ | exa      | time:   1.898 s  | iters: 124   | obj: -1.247985e+03 (min) | CPU:  71.83 MiB
│  └─
└─

┌─ Problem: insurance
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time: 390.900 ms | iters: 90    | obj: -2.058581e+00 (min) | CPU: 118.31 KiB
│  │  ✓ | adnlp    | time: 577.631 ms | iters: 90    | obj: -2.058581e+00 (min) | CPU: 120.75 MiB
│  │  ✓ | exa      | time: 317.780 ms | iters: 91    | obj: -2.058581e+00 (min) | CPU: 246.09 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:   1.054 s  | iters: 100   | obj: -2.059214e+00 (min) | CPU: 125.41 KiB
│  │  ✓ | adnlp    | time:   1.633 s  | iters: 96    | obj: -2.059214e+00 (min) | CPU: 311.99 MiB
│  │  ✓ | exa      | time: 912.445 ms | iters: 109   | obj: -2.059214e+00 (min) | CPU: 441.56 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:   3.436 s  | iters: 139   | obj: -2.059511e+00 (min) | CPU: 178.05 KiB
│  │  ✓ | adnlp    | time:   5.385 s  | iters: 146   | obj: -2.059511e+00 (min) | CPU: 946.00 MiB
│  │  ✓ | exa      | time:   2.616 s  | iters: 134   | obj: -2.059511e+00 (min) | CPU: 769.45 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time: 463.606 ms | iters: 120   | obj: -2.058581e+00 (min) | CPU:  38.18 MiB
│  │  ✓ | adnlp    | time: 724.552 ms | iters: 120   | obj: -2.058581e+00 (min) | CPU: 200.33 MiB
│  │  ✓ | exa      | time: 333.018 ms | iters: 120   | obj: -2.058581e+00 (min) | CPU:  26.32 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:   3.055 s  | iters: 255   | obj: -2.059207e+00 (min) | CPU: 145.36 MiB
│  │  ✓ | adnlp    | time:   7.337 s  | iters: 409   | obj: -2.059207e+00 (min) | CPU:   1.52 GiB
│  │  ✓ | exa      | time:   3.117 s  | iters: 350   | obj: -2.059213e+00 (min) | CPU: 156.35 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  12.817 s  | iters: 567   | obj: -2.059511e+00 (min) | CPU: 535.27 MiB
│  │  ✓ | adnlp    | time:  19.527 s  | iters: 529   | obj: -2.059510e+00 (min) | CPU:   3.76 GiB
│  │  ✓ | exa      | time:   9.260 s  | iters: 520   | obj: -2.059510e+00 (min) | CPU: 435.18 MiB
│  └─
└─

┌─ Problem: jackson
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  74.658 ms | iters: 42    | obj: -1.918613e-01 (min) | CPU:  55.06 KiB
│  │  ✓ | adnlp    | time: 104.305 ms | iters: 42    | obj: -1.918613e-01 (min) | CPU:  10.80 MiB
│  │  ✓ | exa      | time:  77.441 ms | iters: 42    | obj: -1.918613e-01 (min) | CPU: 124.73 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time: 229.028 ms | iters: 58    | obj: -1.918219e-01 (min) | CPU:  73.81 KiB
│  │  ✓ | adnlp    | time: 341.087 ms | iters: 58    | obj: -1.918219e-01 (min) | CPU:  36.18 MiB
│  │  ✓ | exa      | time: 249.535 ms | iters: 58    | obj: -1.918219e-01 (min) | CPU: 227.05 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time: 133.180 ms | iters: 21    | obj: -1.918162e-01 (min) | CPU:  27.64 KiB
│  │  ✓ | adnlp    | time: 257.615 ms | iters: 21    | obj: -1.918162e-01 (min) | CPU:  27.46 MiB
│  │  ✓ | exa      | time: 144.215 ms | iters: 21    | obj: -1.918162e-01 (min) | CPU: 333.11 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  46.869 ms | iters: 40    | obj: -1.918610e-01 (min) | CPU:   6.94 MiB
│  │  ✓ | adnlp    | time:  82.854 ms | iters: 40    | obj: -1.918610e-01 (min) | CPU:  15.86 MiB
│  │  ✓ | exa      | time:  49.873 ms | iters: 40    | obj: -1.918610e-01 (min) | CPU:   6.74 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  45.336 ms | iters: 22    | obj: -1.918217e-01 (min) | CPU:  12.71 MiB
│  │  ✓ | adnlp    | time:  96.572 ms | iters: 22    | obj: -1.918217e-01 (min) | CPU:  22.99 MiB
│  │  ✓ | exa      | time:  47.524 ms | iters: 22    | obj: -1.918217e-01 (min) | CPU:  11.28 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  91.776 ms | iters: 23    | obj: -1.918159e-01 (min) | CPU:  25.89 MiB
│  │  ✓ | adnlp    | time: 211.166 ms | iters: 23    | obj: -1.918159e-01 (min) | CPU:  47.41 MiB
│  │  ✓ | exa      | time:  96.910 ms | iters: 23    | obj: -1.918159e-01 (min) | CPU:  22.83 MiB
│  └─
└─

┌─ Problem: mountain_car
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  75.103 ms | iters: 41    | obj: 1.023976e+02  (min) | CPU:  52.33 KiB
│  │  ✓ | adnlp    | time:  91.568 ms | iters: 41    | obj: 1.023976e+02  (min) | CPU:  10.43 MiB
│  │  ✓ | exa      | time:  60.944 ms | iters: 41    | obj: 1.023976e+02  (min) | CPU: 100.95 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time: 249.610 ms | iters: 69    | obj: 1.023699e+02  (min) | CPU:  89.64 KiB
│  │  ✓ | adnlp    | time: 320.788 ms | iters: 69    | obj: 1.023699e+02  (min) | CPU:  43.15 MiB
│  │  ✓ | exa      | time: 192.447 ms | iters: 67    | obj: 1.023699e+02  (min) | CPU: 193.06 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time: 472.163 ms | iters: 64    | obj: 1.023682e+02  (min) | CPU:  80.72 KiB
│  │  ✓ | adnlp    | time: 694.249 ms | iters: 64    | obj: 1.023682e+02  (min) | CPU:  78.76 MiB
│  │  ✓ | exa      | time: 320.634 ms | iters: 62    | obj: 1.023682e+02  (min) | CPU: 291.36 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  63.823 ms | iters: 49    | obj: 1.023810e+02  (min) | CPU:   9.76 MiB
│  │  ✗ | adnlp   : ERROR: DomainError(Inf, "sincos(x) is only defined for finite x.")
│  │  ✓ | exa      | time:  54.193 ms | iters: 49    | obj: 1.023810e+02  (min) | CPU:   5.51 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time: 138.920 ms | iters: 51    | obj: 1.023699e+02  (min) | CPU:  23.86 MiB
│  │  ✓ | adnlp    | time: 197.104 ms | iters: 51    | obj: 1.023699e+02  (min) | CPU:  44.17 MiB
│  │  ✓ | exa      | time: 106.733 ms | iters: 51    | obj: 1.023699e+02  (min) | CPU:  13.41 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time: 425.486 ms | iters: 74    | obj: 1.023682e+02  (min) | CPU:  59.75 MiB
│  │  ✗ | adnlp   : ERROR: DomainError(Inf, "sincos(x) is only defined for finite x.")
│  │  ✓ | exa      | time: 323.140 ms | iters: 74    | obj: 1.023682e+02  (min) | CPU:  37.98 MiB
│  └─
└─

┌─ Problem: robbins
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  25.389 ms | iters: 19    | obj: 1.962626e+01  (min) | CPU:  12.16 KiB
│  │  ✓ | adnlp    | time:  34.211 ms | iters: 19    | obj: 1.962626e+01  (min) | CPU:   3.48 MiB
│  │  ✓ | exa      | time:  23.217 ms | iters: 19    | obj: 1.962626e+01  (min) | CPU:  95.61 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  49.400 ms | iters: 18    | obj: 1.946663e+01  (min) | CPU:  11.16 KiB
│  │  ✓ | adnlp    | time:  72.763 ms | iters: 18    | obj: 1.946663e+01  (min) | CPU:   8.08 MiB
│  │  ✓ | exa      | time:  50.436 ms | iters: 18    | obj: 1.946663e+01  (min) | CPU: 180.98 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time: 135.792 ms | iters: 27    | obj: 1.944019e+01  (min) | CPU:  15.66 KiB
│  │  ✓ | adnlp    | time: 216.678 ms | iters: 27    | obj: 1.944019e+01  (min) | CPU:  23.33 MiB
│  │  ✓ | exa      | time: 138.749 ms | iters: 27    | obj: 1.944019e+01  (min) | CPU: 334.70 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  25.708 ms | iters: 34    | obj: 1.962626e+01  (min) | CPU:   2.81 MiB
│  │  ✓ | adnlp    | time:  43.183 ms | iters: 34    | obj: 1.962626e+01  (min) | CPU:   8.26 MiB
│  │  ✓ | exa      | time:  26.402 ms | iters: 34    | obj: 1.962626e+01  (min) | CPU:   2.65 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  55.233 ms | iters: 31    | obj: 1.946663e+01  (min) | CPU:   6.14 MiB
│  │  ✓ | adnlp    | time:  87.679 ms | iters: 29    | obj: 1.946663e+01  (min) | CPU:  17.55 MiB
│  │  ✓ | exa      | time:  52.935 ms | iters: 29    | obj: 1.946663e+01  (min) | CPU:   5.67 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time: 165.368 ms | iters: 50    | obj: 1.944019e+01  (min) | CPU:  16.03 MiB
│  │  ✓ | adnlp    | time: 322.803 ms | iters: 50    | obj: 1.944019e+01  (min) | CPU:  56.11 MiB
│  │  ✓ | exa      | time: 169.978 ms | iters: 50    | obj: 1.944019e+01  (min) | CPU:  15.45 MiB
│  └─
└─

┌─ Problem: robot
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  84.221 ms | iters: 18    | obj: 9.141395e+00  (min) | CPU:  23.94 KiB
│  │  ✓ | adnlp    | time: 119.856 ms | iters: 18    | obj: 9.141395e+00  (min) | CPU:  12.91 MiB
│  │  ✓ | exa      | time:  63.343 ms | iters: 18    | obj: 9.141395e+00  (min) | CPU: 181.27 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time: 216.737 ms | iters: 17    | obj: 9.140991e+00  (min) | CPU:  22.70 KiB
│  │  ✓ | adnlp    | time: 347.597 ms | iters: 17    | obj: 9.140991e+00  (min) | CPU:  30.39 MiB
│  │  ✓ | exa      | time: 158.340 ms | iters: 17    | obj: 9.140991e+00  (min) | CPU: 369.86 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time: 572.037 ms | iters: 19    | obj: 9.140931e+00  (min) | CPU:  25.17 KiB
│  │  ✓ | adnlp    | time: 783.148 ms | iters: 19    | obj: 9.140931e+00  (min) | CPU:  67.10 MiB
│  │  ✓ | exa      | time: 395.172 ms | iters: 19    | obj: 9.140931e+00  (min) | CPU: 688.55 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  67.487 ms | iters: 16    | obj: 9.141397e+00  (min) | CPU:  20.27 MiB
│  │  ✓ | adnlp    | time:  98.347 ms | iters: 16    | obj: 9.141397e+00  (min) | CPU:  16.98 MiB
│  │  ✓ | exa      | time:  49.319 ms | iters: 16    | obj: 9.141397e+00  (min) | CPU:   6.61 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time: 278.863 ms | iters: 25    | obj: 9.140992e+00  (min) | CPU:  54.52 MiB
│  │  ✓ | adnlp    | time: 449.681 ms | iters: 25    | obj: 9.140992e+00  (min) | CPU:  61.04 MiB
│  │  ✓ | exa      | time: 195.490 ms | iters: 25    | obj: 9.140992e+00  (min) | CPU:  20.43 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time: 655.652 ms | iters: 23    | obj: 9.140939e+00  (min) | CPU: 108.51 MiB
│  │  ✓ | adnlp    | time: 975.331 ms | iters: 23    | obj: 9.140939e+00  (min) | CPU: 114.69 MiB
│  │  ✓ | exa      | time: 479.596 ms | iters: 23    | obj: 9.140939e+00  (min) | CPU:  39.43 MiB
│  └─
└─

┌─ Problem: rocket
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  38.181 ms | iters: 18    | obj: -1.012836e+00 (min) | CPU:  23.94 KiB
│  │  ✓ | adnlp    | time:  70.902 ms | iters: 18    | obj: -1.012836e+00 (min) | CPU:  16.91 MiB
│  │  ✓ | exa      | time:  27.650 ms | iters: 18    | obj: -1.012836e+00 (min) | CPU: 101.02 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time: 100.123 ms | iters: 21    | obj: -1.012837e+00 (min) | CPU:  27.64 KiB
│  │  ✓ | adnlp    | time: 217.642 ms | iters: 21    | obj: -1.012837e+00 (min) | CPU:  48.36 MiB
│  │  ✓ | exa      | time:  71.947 ms | iters: 21    | obj: -1.012837e+00 (min) | CPU: 190.73 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time: 253.402 ms | iters: 24    | obj: -1.012837e+00 (min) | CPU:  31.34 KiB
│  │  ✓ | adnlp    | time: 553.075 ms | iters: 24    | obj: -1.012837e+00 (min) | CPU: 109.19 MiB
│  │  ✓ | exa      | time: 165.116 ms | iters: 24    | obj: -1.012837e+00 (min) | CPU: 338.45 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  36.717 ms | iters: 21    | obj: -1.012835e+00 (min) | CPU:  12.96 MiB
│  │  ✓ | adnlp    | time:  72.863 ms | iters: 21    | obj: -1.012835e+00 (min) | CPU:  22.84 MiB
│  │  ✓ | exa      | time:  22.500 ms | iters: 21    | obj: -1.012835e+00 (min) | CPU:   4.41 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  94.513 ms | iters: 22    | obj: -1.012835e+00 (min) | CPU:  32.06 MiB
│  │  ✓ | adnlp    | time: 182.906 ms | iters: 22    | obj: -1.012835e+00 (min) | CPU:  58.83 MiB
│  │  ✓ | exa      | time:  57.592 ms | iters: 22    | obj: -1.012835e+00 (min) | CPU:  10.86 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time: 223.565 ms | iters: 24    | obj: -1.012836e+00 (min) | CPU:  65.45 MiB
│  │  ✓ | adnlp    | time: 487.694 ms | iters: 24    | obj: -1.012836e+00 (min) | CPU: 126.65 MiB
│  │  ✓ | exa      | time: 128.806 ms | iters: 24    | obj: -1.012836e+00 (min) | CPU:  22.40 MiB
│  └─
└─

┌─ Problem: space_shuttle
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:   1.486 s  | iters: 111   | obj: -3.853783e-01 (min) | CPU: 138.98 KiB
│  │  ✓ | adnlp    | time:   1.450 s  | iters: 101   | obj: -5.958694e-01 (min) | CPU: 172.82 MiB
│  │  ✓ | exa      | time: 709.763 ms | iters: 101   | obj: -5.958694e-01 (min) | CPU: 309.17 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:   4.674 s  | iters: 115   | obj: -5.958750e-01 (min) | CPU: 143.67 KiB
│  │  ✓ | adnlp    | time:   4.381 s  | iters: 116   | obj: -5.958750e-01 (min) | CPU: 492.38 MiB
│  │  ✓ | exa      | time:   1.959 s  | iters: 116   | obj: -5.958750e-01 (min) | CPU: 498.08 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:   6.491 s  | iters: 74    | obj: -3.050197e-01 (min) | CPU:  97.30 KiB
│  │  ✓ | adnlp    | time:  13.251 s  | iters: 125   | obj: -5.958758e-01 (min) | CPU:   1.03 GiB
│  │  ✓ | exa      | time:   6.300 s  | iters: 125   | obj: -5.958758e-01 (min) | CPU: 796.62 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:   1.477 s  | iters: 113   | obj: -3.854923e-01 (min) | CPU: 101.75 MiB
│  │  ✓ | adnlp    | time:   2.949 s  | iters: 198   | obj: -5.958694e-01 (min) | CPU: 398.60 MiB
│  │  ✓ | exa      | time: 937.569 ms | iters: 181   | obj: -5.958694e-01 (min) | CPU:  52.66 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:   2.797 s  | iters: 77    | obj: -5.958750e-01 (min) | CPU: 230.97 MiB
│  │  ✓ | adnlp    | time:   7.565 s  | iters: 166   | obj: -5.958750e-01 (min) | CPU: 847.91 MiB
│  │  ✓ | exa      | time:   2.187 s  | iters: 166   | obj: -5.958750e-01 (min) | CPU: 123.22 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  81.535 s  | iters: 480   | obj: -3.050197e-01 (min) | CPU:   1.24 GiB
│  │  ✗ | adnlp   : ERROR: DomainError(Inf, "sincos(x) is only defined for finite x.")
│  │  ✓ | exa      | time:   3.312 s  | iters: 95    | obj: -5.958758e-01 (min) | CPU: 159.66 MiB
│  └─
└─

┌─ Problem: steering
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  22.525 ms | iters: 8     | obj: 5.545770e-01  (min) | CPU:  11.59 KiB
│  │  ✓ | adnlp    | time:  27.864 ms | iters: 8     | obj: 5.545770e-01  (min) | CPU:   4.89 MiB
│  │  ✓ | exa      | time:  18.972 ms | iters: 8     | obj: 5.545770e-01  (min) | CPU: 102.95 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  58.795 ms | iters: 8     | obj: 5.545719e-01  (min) | CPU:  11.59 KiB
│  │  ✓ | adnlp    | time:  75.733 ms | iters: 8     | obj: 5.545719e-01  (min) | CPU:  12.13 MiB
│  │  ✓ | exa      | time:  48.718 ms | iters: 8     | obj: 5.545719e-01  (min) | CPU: 213.33 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time: 157.364 ms | iters: 8     | obj: 5.545711e-01  (min) | CPU:  11.59 KiB
│  │  ✓ | adnlp    | time: 187.352 ms | iters: 8     | obj: 5.545711e-01  (min) | CPU:  24.19 MiB
│  │  ✓ | exa      | time: 108.805 ms | iters: 8     | obj: 5.545711e-01  (min) | CPU: 396.70 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  25.721 ms | iters: 11    | obj: 5.545770e-01  (min) | CPU:   8.77 MiB
│  │  ✓ | adnlp    | time:  29.997 ms | iters: 11    | obj: 5.545770e-01  (min) | CPU:   8.31 MiB
│  │  ✓ | exa      | time:  17.860 ms | iters: 11    | obj: 5.545770e-01  (min) | CPU:   2.35 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  74.667 ms | iters: 13    | obj: 5.545719e-01  (min) | CPU:  22.17 MiB
│  │  ✓ | adnlp    | time:  87.776 ms | iters: 13    | obj: 5.545719e-01  (min) | CPU:  23.19 MiB
│  │  ✓ | exa      | time:  50.713 ms | iters: 13    | obj: 5.545719e-01  (min) | CPU:   5.89 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time: 174.865 ms | iters: 14    | obj: 5.545711e-01  (min) | CPU:  45.15 MiB
│  │  ✓ | adnlp    | time: 211.277 ms | iters: 14    | obj: 5.545711e-01  (min) | CPU:  48.89 MiB
│  │  ✓ | exa      | time: 118.447 ms | iters: 14    | obj: 5.545711e-01  (min) | CPU:  11.87 MiB
│  └─
└─

┌─ Problem: vanderpol
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:   4.750 ms | iters: 3     | obj: 1.047836e+00  (min) | CPU:   5.42 KiB
│  │  ✓ | adnlp    | time:   6.473 ms | iters: 3     | obj: 1.047836e+00  (min) | CPU: 955.09 KiB
│  │  ✓ | exa      | time:   3.714 ms | iters: 3     | obj: 1.047836e+00  (min) | CPU:  53.50 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:   9.941 ms | iters: 3     | obj: 1.047812e+00  (min) | CPU:   5.42 KiB
│  │  ✓ | adnlp    | time:  14.534 ms | iters: 3     | obj: 1.047812e+00  (min) | CPU:   2.30 MiB
│  │  ✓ | exa      | time:   7.519 ms | iters: 3     | obj: 1.047812e+00  (min) | CPU: 102.56 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  19.344 ms | iters: 3     | obj: 1.047808e+00  (min) | CPU:   5.42 KiB
│  │  ✓ | adnlp    | time:  29.922 ms | iters: 3     | obj: 1.047808e+00  (min) | CPU:   4.58 MiB
│  │  ✓ | exa      | time:  14.209 ms | iters: 3     | obj: 1.047808e+00  (min) | CPU: 184.75 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:   6.220 ms | iters: 3     | obj: 1.047836e+00  (min) | CPU:   5.04 MiB
│  │  ✓ | adnlp    | time:   6.244 ms | iters: 3     | obj: 1.047836e+00  (min) | CPU:   1.69 MiB
│  │  ✓ | exa      | time:   2.824 ms | iters: 3     | obj: 1.047836e+00  (min) | CPU:   1.33 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  15.347 ms | iters: 3     | obj: 1.047812e+00  (min) | CPU:  12.23 MiB
│  │  ✓ | adnlp    | time:  14.006 ms | iters: 3     | obj: 1.047812e+00  (min) | CPU:   4.08 MiB
│  │  ✓ | exa      | time:   6.359 ms | iters: 3     | obj: 1.047812e+00  (min) | CPU:   3.15 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  30.433 ms | iters: 3     | obj: 1.047808e+00  (min) | CPU:  24.67 MiB
│  │  ✓ | adnlp    | time:  30.692 ms | iters: 3     | obj: 1.047808e+00  (min) | CPU:   8.06 MiB
│  │  ✓ | exa      | time:  12.293 ms | iters: 3     | obj: 1.047808e+00  (min) | CPU:   6.19 MiB
│  └─
└─

Kkt

This benchmark suite evaluates optimal control problems on self-hosted CPU hardware.

⚙️ Configuration

  • Problems: balanced_field, beam, brachistochrone, bryson_denham, chain, dielectrophoretic_particle, double_oscillator, ducted_fan, electric_vehicle, glider, insurance, jackson, mountain_car, robbins, robot, rocket, space_shuttle, steering, vanderpol

  • Solvers: ipopt, madnlp

  • Models: adnlp, exa, jump

  • Grid sizes: 200, 500, 1000, 2000 discretization points

  • Discretization: trapeze method

  • Tolerance: 1.0e-8

  • Ipopt strategy: adaptive barrier parameter

  • Limits: 1000 iterations max, 500.0s wall time

🖥️ Environment

📅 Timestamp     : 2026-03-11 01:25:20 UTC
🔧 Julia version : 1.12.4
💻 OS            : Linux
🖥️ Machine       : kkt.mcs.anl.gov

You can download the exact environment used for this benchmark:

These files allow you to reproduce the benchmark environment and results exactly.

Julia Version 1.12.4
Commit 01a2eadb047 (2026-01-06 16:56 UTC)
Build Info:
  Official https://julialang.org release
Platform Info:
  OS: Linux (x86_64-linux-gnu)
  CPU: 192 × INTEL(R) XEON(R) PLATINUM 8568Y+
  WORD_SIZE: 64
  LLVM: libLLVM-18.1.7 (ORCJIT, sapphirerapids)
  GC: Built with stock GC
Threads: 1 default, 1 interactive, 1 GC (on 192 virtual cores)
Environment:
  JULIA_CUDSS_LIBRARY_PATH = /software/libcudss/libcudss-linux-x86_64-0.7.1.4_cuda13-archive/lib
  JULIA_LOAD_PATH = @:@v#.#:@stdlib:/software/julia/environments/v1.12
  JULIA_PKG_SERVER_REGISTRY_PREFERENCE = eager
  JULIA_DEPOT_PATH = /storage/mschanen/github-actions/julia_depot
  LD_LIBRARY_PATH = /software/julia/julia_binaries/julia-1.12/lib:/software/mpich-ofi/lib:/software/libcudss/libcudss-linux-x86_64-0.7.1.4_cuda13-archive/lib:/usr/local/cuda/lib
Project CTBenchmarks v0.3.1
Status `/storage/mschanen/github-actions/actions_runner_ct/_work/CTBenchmarks.jl/CTBenchmarks.jl/Project.toml`
  [6e4b80f9] BenchmarkTools v1.6.3
 [54762871] CTBase v0.16.2
  [052768ef] CUDA v5.10.1
  [a93c6f00] DataFrames v1.8.1
  [ffbed154] DocStringExtensions v0.9.5
  [b6b21f68] Ipopt v1.14.1
  [682c06a0] JSON v1.4.0
  [4076af6c] JuMP v1.30.0
 [d72a61cc] MadNLPGPU v0.7.18
  [3b83494e] MadNLPMumps v0.5.1
  [f4238b75] NLPModelsIpopt v0.11.2
 [5f98b655] OptimalControl v1.1.6
  [59046045] OptimalControlProblems v0.5.0
  [91a5bcdd] Plots v1.41.6
  [10745b16] Statistics v1.11.1
  [bd369af6] Tables v1.12.1
  [ade2ca70] Dates v1.11.0
  [b77e0a4c] InteractiveUtils v1.11.0
  [44cfe95a] Pkg v1.12.1
  [de0858da] Printf v1.11.0
  [6462fe0b] Sockets v1.11.0
Info Packages marked with  have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated`
Project CTBenchmarks v0.3.1
Status `/storage/mschanen/github-actions/actions_runner_ct/_work/CTBenchmarks.jl/CTBenchmarks.jl/Manifest.toml`
  [54578032] ADNLPModels v0.8.13
  [47edcb42] ADTypes v1.21.0
  [14f7f29c] AMD v0.5.3
  [621f4979] AbstractFFTs v1.5.0
  [79e6a3ab] Adapt v4.5.0
  [66dad0bd] AliasTables v1.1.3
  [a9b6321e] Atomix v1.1.2
  [13072b0f] AxisAlgorithms v1.1.0
  [ab4f0b2a] BFloat16s v0.6.1
  [6e4b80f9] BenchmarkTools v1.6.3
  [d1d4a3ce] BitFlags v0.1.9
  [fa961155] CEnum v0.5.0
 [54762871] CTBase v0.16.2
 [790bbbee] CTDirect v0.17.5-beta
 [1c39547c] CTFlows v0.8.12-beta
 [34c4fa32] CTModels v0.6.10-beta.2
 [32681960] CTParser v0.7.3-beta
  [052768ef] CUDA v5.10.1
  [1af6417a] CUDA_Runtime_Discovery v1.0.0
  [45b445bb] CUDSS v0.6.7
  [d360d2e6] ChainRulesCore v1.26.0
  [523fee87] CodecBzip2 v0.8.5
  [944b1d66] CodecZlib v0.7.8
  [35d6a980] ColorSchemes v3.31.0
  [3da002f7] ColorTypes v0.12.1
  [c3611d14] ColorVectorSpace v0.11.0
  [5ae59095] Colors v0.13.1
  [38540f10] CommonSolve v0.2.6
  [bbf7d656] CommonSubexpressions v0.3.1
  [34da2185] Compat v4.18.1
  [f0e56b4a] ConcurrentUtilities v2.5.1
  [d38c429a] Contour v0.6.3
  [a8cc5b0e] Crayons v4.1.1
  [9a962f9c] DataAPI v1.16.0
  [a93c6f00] DataFrames v1.8.1
  [864edb3b] DataStructures v0.19.3
  [e2d170a0] DataValueInterfaces v1.0.0
  [8bb1440f] DelimitedFiles v1.9.1
  [163ba53b] DiffResults v1.1.0
  [b552c78f] DiffRules v1.15.1
  [ffbed154] DocStringExtensions v0.9.5
 [1037b233] ExaModels v0.9.3
  [460bff9d] ExceptionUnwrapping v0.1.11
  [e2ba6199] ExprTools v0.1.10
  [c87230d0] FFMPEG v0.4.5
  [9aa1b823] FastClosures v0.3.2
  [1a297f60] FillArrays v1.16.0
  [53c48c17] FixedPointNumbers v0.8.5
  [1fa38f19] Format v1.3.7
  [f6369f11] ForwardDiff v1.3.2
  [069b7b12] FunctionWrappers v1.1.3
  [0c68f7d7] GPUArrays v11.4.1
  [46192b85] GPUArraysCore v0.2.0
  [61eb1bfa] GPUCompiler v1.8.2
  [096a3bc2] GPUToolbox v1.0.0
  [28b8d3ca] GR v0.73.24
  [42e2da0e] Grisu v1.0.2
  [34c5aeac] HSL v0.5.2
  [cd3eb016] HTTP v1.11.0
  [076d061b] HashArrayMappedTries v0.2.0
  [842dd82b] InlineStrings v1.4.5
  [a98d9a8b] Interpolations v0.16.2
  [41ab1584] InvertedIndices v1.3.1
  [b6b21f68] Ipopt v1.14.1
  [92d709cd] IrrationalConstants v0.2.6
  [82899510] IteratorInterfaceExtensions v1.0.0
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Info Packages marked with  and  have new versions available. Those with  may be upgradable, but those with  are restricted by compatibility constraints from upgrading. To see why use `status --outdated -m`

📈 Performance Profile CPU Time

Performance Profile Analysis

Dataset overview for core-kkt-cpu:

  • Problems: 19 unique optimal control problems
  • Instances: 76
  • Solver combos: 6

Profile configuration:

  • Instance definition: (problem, grid_size)
  • Solver combos definition: (model, solver)
  • Criterion: CPU time
  • Successful runs: 437/456 (95.8%)
  • Successful instances: 76/76 (100.0%)
  • Unsuccessful instances: none (every instance had at least one successful run)

Robustness (% of instances solved):

  • (jump, ipopt): 97.4%
  • (adnlp, ipopt): 97.4%
  • (exa, ipopt): 97.4%
  • (jump, madnlp): 97.4%
  • (adnlp, madnlp): 88.2%
  • (exa, madnlp): 97.4%

Efficiency (% of instances where fastest):

  • (jump, ipopt): 6.6%
  • (adnlp, ipopt): 0.0%
  • (exa, ipopt): 27.6%
  • (jump, madnlp): 14.5%
  • (adnlp, madnlp): 0.0%
  • (exa, madnlp): 51.3%

Most robust: 5 combinations tied at 97.4%.

Most efficient: (exa, madnlp) was fastest on 51.3% of instances.

📈 Performance Profile CPU Time: two best combos

Performance Profile Analysis

Dataset overview for core-kkt-cpu:

  • Problems: 19 unique optimal control problems
  • Instances: 76
  • Solver combos: 2

Profile configuration:

  • Instance definition: (problem, grid_size)
  • Solver combos definition: (model, solver)
  • Criterion: CPU time
  • Successful runs: 148/152 (97.4%)
  • Successful instances: 75/76 (98.7%)
  • Unsuccessful instances (no solver converged):
    • ducted_fan, 2000

Robustness (% of instances solved):

  • (exa, ipopt): 97.4%
  • (exa, madnlp): 97.4%

Efficiency (% of instances where fastest):

  • (exa, ipopt): 34.2%
  • (exa, madnlp): 64.5%

Most robust: 2 combinations tied at 97.4%.

Most efficient: (exa, madnlp) was fastest on 64.5% of instances.

📈 Performance Profile Iterations

Performance Profile Analysis

Dataset overview for core-kkt-cpu:

  • Problems: 19 unique optimal control problems
  • Instances: 76
  • Solver combos: 6

Profile configuration:

  • Instance definition: (problem, grid_size)
  • Solver combos definition: (model, solver)
  • Criterion: Iterations
  • Successful runs: 437/456 (95.8%)
  • Successful instances: 76/76 (100.0%)
  • Unsuccessful instances: none (every instance had at least one successful run)

Robustness (% of instances solved):

  • (jump, ipopt): 97.4%
  • (adnlp, ipopt): 97.4%
  • (exa, ipopt): 97.4%
  • (jump, madnlp): 97.4%
  • (adnlp, madnlp): 88.2%
  • (exa, madnlp): 97.4%

Efficiency (% of instances where fastest):

  • (jump, ipopt): 75.0%
  • (adnlp, ipopt): 75.0%
  • (exa, ipopt): 75.0%
  • (jump, madnlp): 34.2%
  • (adnlp, madnlp): 28.9%
  • (exa, madnlp): 32.9%

Most robust: 5 combinations tied at 97.4%.

Most efficient: 3 combinations tied at 75.0%.

📊 Tables of Results


SuccessNModelSolverTime (ms)ItersObjectiveCriterionBest
200adnlpipopt74.18217771.011400min
200adnlpmadnlp93.73923771.011400min
200exaipopt25.51317771.011400min
200examadnlp25.38123771.011400min
200jumpipopt51.47517771.011400min
200jumpmadnlp67.50323771.011400min
SuccessNModelSolverTime (ms)ItersObjectiveCriterionBest
500adnlpipopt211.18420771.008497min
500adnlpmadnlpN/AN/AN/AN/A
500exaipopt69.12720771.008497min
500examadnlp67.84125771.008498min
500jumpipopt148.56820771.008497min
500jumpmadnlp181.81525771.008498min
SuccessNModelSolverTime (ms)ItersObjectiveCriterionBest
1000adnlpipopt451.80720771.008007min
1000adnlpmadnlp510.58923771.008010min
1000exaipopt315.92020771.008007min
1000examadnlp132.93323771.008010min
1000jumpipopt318.73120771.008007min
1000jumpmadnlp349.42923771.008010min
SuccessNModelSolverTime (ms)ItersObjectiveCriterionBest
2000adnlpipopt1324.79126771.007873min
2000adnlpmadnlp1178.11624771.007877min
2000exaipopt1256.78726771.007873min
2000examadnlp386.27124771.007877min
2000jumpipopt1263.85826771.007873min
2000jumpmadnlp756.20524771.007877min
Benchmarks results:

┌─ Problem: balanced_field
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  51.475 ms | iters: 17    | obj: 7.710114e+02  (min) | CPU:  22.70 KiB
│  │  ✓ | adnlp    | time:  74.182 ms | iters: 17    | obj: 7.710114e+02  (min) | CPU:  23.00 MiB
│  │  ✓ | exa      | time:  25.513 ms | iters: 17    | obj: 7.710114e+02  (min) | CPU: 129.11 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time: 148.568 ms | iters: 20    | obj: 7.710085e+02  (min) | CPU:  26.41 KiB
│  │  ✓ | adnlp    | time: 211.184 ms | iters: 20    | obj: 7.710085e+02  (min) | CPU:  66.32 MiB
│  │  ✓ | exa      | time:  69.127 ms | iters: 20    | obj: 7.710085e+02  (min) | CPU: 242.58 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time: 318.731 ms | iters: 20    | obj: 7.710080e+02  (min) | CPU:  26.41 KiB
│  │  ✓ | adnlp    | time: 451.807 ms | iters: 20    | obj: 7.710080e+02  (min) | CPU: 132.40 MiB
│  │  ✓ | exa      | time: 315.920 ms | iters: 20    | obj: 7.710080e+02  (min) | CPU: 425.95 KiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time:   1.264 s  | iters: 26    | obj: 7.710079e+02  (min) | CPU:  34.56 KiB
│  │  ✓ | adnlp    | time:   1.325 s  | iters: 26    | obj: 7.710079e+02  (min) | CPU: 340.26 MiB
│  │  ✓ | exa      | time:   1.257 s  | iters: 26    | obj: 7.710079e+02  (min) | CPU: 799.94 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  67.503 ms | iters: 23    | obj: 7.710114e+02  (min) | CPU:  31.44 MiB
│  │  ✓ | adnlp    | time:  93.739 ms | iters: 23    | obj: 7.710114e+02  (min) | CPU:  34.07 MiB
│  │  ✓ | exa      | time:  25.381 ms | iters: 23    | obj: 7.710114e+02  (min) | CPU:   5.62 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time: 181.815 ms | iters: 25    | obj: 7.710085e+02  (min) | CPU:  82.24 MiB
│  │  ✗ | adnlp   : ERROR: DomainError(Inf, "sincos(x) is only defined for finite x.")
│  │  ✓ | exa      | time:  67.841 ms | iters: 25    | obj: 7.710085e+02  (min) | CPU:  14.01 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time: 349.429 ms | iters: 23    | obj: 7.710080e+02  (min) | CPU: 164.44 MiB
│  │  ✓ | adnlp    | time: 510.589 ms | iters: 23    | obj: 7.710080e+02  (min) | CPU: 168.42 MiB
│  │  ✓ | exa      | time: 132.933 ms | iters: 23    | obj: 7.710080e+02  (min) | CPU:  26.92 MiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time: 756.205 ms | iters: 24    | obj: 7.710079e+02  (min) | CPU: 329.77 MiB
│  │  ✓ | adnlp    | time:   1.178 s  | iters: 24    | obj: 7.710079e+02  (min) | CPU: 349.25 MiB
│  │  ✓ | exa      | time: 386.271 ms | iters: 24    | obj: 7.710079e+02  (min) | CPU:  54.32 MiB
│  └─
└─

┌─ Problem: beam
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:   9.195 ms | iters: 16    | obj: 8.891335e+00  (min) | CPU:  10.16 KiB
│  │  ✓ | adnlp    | time:  13.707 ms | iters: 16    | obj: 8.891335e+00  (min) | CPU:   2.37 MiB
│  │  ✓ | exa      | time:   9.045 ms | iters: 16    | obj: 8.891335e+00  (min) | CPU:  72.55 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  23.103 ms | iters: 18    | obj: 8.889282e+00  (min) | CPU:  11.16 KiB
│  │  ✓ | adnlp    | time:  32.804 ms | iters: 18    | obj: 8.889282e+00  (min) | CPU:   6.47 MiB
│  │  ✓ | exa      | time:  21.565 ms | iters: 18    | obj: 8.889282e+00  (min) | CPU: 137.67 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  69.920 ms | iters: 30    | obj: 8.888987e+00  (min) | CPU:  17.16 KiB
│  │  ✓ | adnlp    | time: 109.221 ms | iters: 33    | obj: 8.888988e+00  (min) | CPU:  22.54 MiB
│  │  ✓ | exa      | time:  73.810 ms | iters: 35    | obj: 8.888987e+00  (min) | CPU: 260.89 KiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time: 143.263 ms | iters: 32    | obj: 8.888914e+00  (min) | CPU:  18.16 KiB
│  │  ✓ | adnlp    | time: 229.854 ms | iters: 34    | obj: 8.888913e+00  (min) | CPU:  46.25 MiB
│  │  ✓ | exa      | time: 121.678 ms | iters: 28    | obj: 8.888915e+00  (min) | CPU: 464.61 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:   7.116 ms | iters: 21    | obj: 8.891335e+00  (min) | CPU:   1.95 MiB
│  │  ✓ | adnlp    | time:  12.842 ms | iters: 21    | obj: 8.891335e+00  (min) | CPU:   4.59 MiB
│  │  ✓ | exa      | time:   7.275 ms | iters: 21    | obj: 8.891335e+00  (min) | CPU:   1.76 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  14.750 ms | iters: 18    | obj: 8.889282e+00  (min) | CPU:   4.13 MiB
│  │  ✓ | adnlp    | time:  24.390 ms | iters: 18    | obj: 8.889282e+00  (min) | CPU:   9.81 MiB
│  │  ✓ | exa      | time:  14.885 ms | iters: 18    | obj: 8.889282e+00  (min) | CPU:   3.74 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  39.725 ms | iters: 26    | obj: 8.888987e+00  (min) | CPU:   9.85 MiB
│  │  ✓ | adnlp    | time:  68.502 ms | iters: 28    | obj: 8.888987e+00  (min) | CPU:  28.11 MiB
│  │  ✓ | exa      | time:  40.908 ms | iters: 26    | obj: 8.888987e+00  (min) | CPU:   8.99 MiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time: 137.773 ms | iters: 38    | obj: 8.888914e+00  (min) | CPU:  24.64 MiB
│  │  ✓ | adnlp    | time: 215.767 ms | iters: 40    | obj: 8.888914e+00  (min) | CPU:  76.03 MiB
│  │  ✓ | exa      | time: 144.782 ms | iters: 37    | obj: 8.888914e+00  (min) | CPU:  22.32 MiB
│  └─
└─

┌─ Problem: brachistochrone
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  30.637 ms | iters: 19    | obj: 1.802935e+00  (min) | CPU:  25.17 KiB
│  │  ✓ | adnlp    | time:  44.755 ms | iters: 19    | obj: 1.802935e+00  (min) | CPU:  28.07 MiB
│  │  ✓ | exa      | time:  18.415 ms | iters: 19    | obj: 1.802935e+00  (min) | CPU:  96.05 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  68.400 ms | iters: 18    | obj: 1.802932e+00  (min) | CPU:  24.19 KiB
│  │  ✓ | adnlp    | time:  94.310 ms | iters: 18    | obj: 1.802932e+00  (min) | CPU:  66.85 MiB
│  │  ✓ | exa      | time:  38.303 ms | iters: 18    | obj: 1.802932e+00  (min) | CPU: 182.03 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time: 144.564 ms | iters: 20    | obj: 1.802932e+00  (min) | CPU:  26.41 KiB
│  │  ✓ | adnlp    | time: 217.536 ms | iters: 20    | obj: 1.802932e+00  (min) | CPU: 146.10 MiB
│  │  ✓ | exa      | time:  85.555 ms | iters: 20    | obj: 1.802932e+00  (min) | CPU: 328.33 KiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time: 309.109 ms | iters: 19    | obj: 1.802932e+00  (min) | CPU:  25.17 KiB
│  │  ✓ | adnlp    | time: 465.061 ms | iters: 19    | obj: 1.802932e+00  (min) | CPU: 278.60 MiB
│  │  ✓ | exa      | time: 211.270 ms | iters: 19    | obj: 1.802932e+00  (min) | CPU: 616.36 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  30.706 ms | iters: 20    | obj: 1.802935e+00  (min) | CPU:  14.31 MiB
│  │  ✗ | adnlp   : ERROR: DomainError(Inf, "sincos(x) is only defined for finite x.")
│  │  ✓ | exa      | time:  14.989 ms | iters: 20    | obj: 1.802935e+00  (min) | CPU:   2.88 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  79.136 ms | iters: 21    | obj: 1.802932e+00  (min) | CPU:  35.95 MiB
│  │  ✓ | adnlp    | time: 105.849 ms | iters: 21    | obj: 1.802932e+00  (min) | CPU:  82.13 MiB
│  │  ✓ | exa      | time:  37.887 ms | iters: 21    | obj: 1.802932e+00  (min) | CPU:   6.87 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time: 163.846 ms | iters: 21    | obj: 1.802932e+00  (min) | CPU:  70.50 MiB
│  │  ✓ | adnlp    | time: 228.037 ms | iters: 21    | obj: 1.802932e+00  (min) | CPU: 163.81 MiB
│  │  ✓ | exa      | time:  79.781 ms | iters: 21    | obj: 1.802932e+00  (min) | CPU:  13.50 MiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time: 381.650 ms | iters: 23    | obj: 1.802932e+00  (min) | CPU: 142.76 MiB
│  │  ✓ | adnlp    | time: 570.658 ms | iters: 23    | obj: 1.802932e+00  (min) | CPU: 354.90 MiB
│  │  ✓ | exa      | time: 215.244 ms | iters: 23    | obj: 1.802932e+00  (min) | CPU:  27.77 MiB
│  └─
└─

┌─ Problem: bryson_denham
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:   7.769 ms | iters: 13    | obj: 4.000889e+00  (min) | CPU:   8.66 KiB
│  │  ✓ | adnlp    | time:  11.850 ms | iters: 13    | obj: 4.000889e+00  (min) | CPU:   1.97 MiB
│  │  ✓ | exa      | time:   7.444 ms | iters: 13    | obj: 4.000889e+00  (min) | CPU:  69.45 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  20.597 ms | iters: 16    | obj: 4.000143e+00  (min) | CPU:  10.16 KiB
│  │  ✓ | adnlp    | time:  28.445 ms | iters: 16    | obj: 4.000143e+00  (min) | CPU:   5.82 MiB
│  │  ✓ | exa      | time:  18.795 ms | iters: 16    | obj: 4.000143e+00  (min) | CPU: 135.61 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  50.486 ms | iters: 22    | obj: 4.000037e+00  (min) | CPU:  13.16 KiB
│  │  ✓ | adnlp    | time:  70.497 ms | iters: 22    | obj: 4.000037e+00  (min) | CPU:  15.45 MiB
│  │  ✓ | exa      | time:  47.104 ms | iters: 22    | obj: 4.000037e+00  (min) | CPU: 247.48 KiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time: 115.379 ms | iters: 26    | obj: 4.000009e+00  (min) | CPU:  15.16 KiB
│  │  ✓ | adnlp    | time: 150.719 ms | iters: 23    | obj: 4.000009e+00  (min) | CPU:  32.11 MiB
│  │  ✓ | exa      | time: 106.645 ms | iters: 25    | obj: 4.000009e+00  (min) | CPU: 461.52 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:   5.170 ms | iters: 15    | obj: 4.000889e+00  (min) | CPU:   1.53 MiB
│  │  ✓ | adnlp    | time:   9.225 ms | iters: 15    | obj: 4.000889e+00  (min) | CPU:   3.39 MiB
│  │  ✓ | exa      | time:   5.287 ms | iters: 15    | obj: 4.000889e+00  (min) | CPU:   1.33 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  15.199 ms | iters: 19    | obj: 4.000143e+00  (min) | CPU:   3.86 MiB
│  │  ✓ | adnlp    | time:  26.453 ms | iters: 19    | obj: 4.000143e+00  (min) | CPU:  10.00 MiB
│  │  ✓ | exa      | time:  14.685 ms | iters: 18    | obj: 4.000143e+00  (min) | CPU:   3.33 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  36.474 ms | iters: 24    | obj: 4.000036e+00  (min) | CPU:   8.38 MiB
│  │  ✓ | adnlp    | time:  61.337 ms | iters: 23    | obj: 4.000036e+00  (min) | CPU:  22.68 MiB
│  │  ✓ | exa      | time:  37.817 ms | iters: 24    | obj: 4.000036e+00  (min) | CPU:   7.59 MiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time: 140.386 ms | iters: 38    | obj: 4.000009e+00  (min) | CPU:  21.49 MiB
│  │  ✓ | adnlp    | time: 224.070 ms | iters: 37    | obj: 4.000009e+00  (min) | CPU:  67.85 MiB
│  │  ✓ | exa      | time: 144.869 ms | iters: 37    | obj: 4.000009e+00  (min) | CPU:  19.25 MiB
│  └─
└─

┌─ Problem: chain
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:   9.516 ms | iters: 7     | obj: 5.068917e+00  (min) | CPU:  10.36 KiB
│  │  ✓ | adnlp    | time:  11.434 ms | iters: 7     | obj: 5.068917e+00  (min) | CPU:   4.40 MiB
│  │  ✓ | exa      | time:   6.041 ms | iters: 7     | obj: 5.068917e+00  (min) | CPU:  70.12 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  42.796 ms | iters: 14    | obj: 5.068578e+00  (min) | CPU:  20.50 KiB
│  │  ✓ | adnlp    | time:  48.435 ms | iters: 14    | obj: 5.068578e+00  (min) | CPU:  20.40 MiB
│  │  ✓ | exa      | time:  25.619 ms | iters: 14    | obj: 5.068578e+00  (min) | CPU: 146.62 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  39.793 ms | iters: 6     | obj: 5.068510e+00  (min) | CPU:   9.12 KiB
│  │  ✓ | adnlp    | time:  45.606 ms | iters: 6     | obj: 5.068510e+00  (min) | CPU:  19.35 MiB
│  │  ✓ | exa      | time:  25.631 ms | iters: 6     | obj: 5.068510e+00  (min) | CPU: 250.34 KiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time:  84.069 ms | iters: 6     | obj: 5.068489e+00  (min) | CPU:   9.12 KiB
│  │  ✓ | adnlp    | time:  91.481 ms | iters: 6     | obj: 5.068489e+00  (min) | CPU:  38.65 MiB
│  │  ✓ | exa      | time:  57.481 ms | iters: 6     | obj: 5.068489e+00  (min) | CPU: 476.91 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  10.144 ms | iters: 7     | obj: 5.068917e+00  (min) | CPU:   7.19 MiB
│  │  ✓ | adnlp    | time:   9.321 ms | iters: 7     | obj: 5.068917e+00  (min) | CPU:   5.53 MiB
│  │  ✓ | exa      | time:   5.000 ms | iters: 7     | obj: 5.068917e+00  (min) | CPU:   1.43 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  41.671 ms | iters: 14    | obj: 5.068578e+00  (min) | CPU:  19.22 MiB
│  │  ✓ | adnlp    | time:  42.241 ms | iters: 14    | obj: 5.068578e+00  (min) | CPU:  23.67 MiB
│  │  ✓ | exa      | time:  22.361 ms | iters: 14    | obj: 5.068578e+00  (min) | CPU:   3.98 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  43.111 ms | iters: 6     | obj: 5.068510e+00  (min) | CPU:  37.98 MiB
│  │  ✓ | adnlp    | time:  39.377 ms | iters: 6     | obj: 5.068510e+00  (min) | CPU:  24.41 MiB
│  │  ✓ | exa      | time:  19.991 ms | iters: 6     | obj: 5.068510e+00  (min) | CPU:   6.42 MiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time: 119.468 ms | iters: 6     | obj: 5.068489e+00  (min) | CPU:  76.62 MiB
│  │  ✓ | adnlp    | time: 113.361 ms | iters: 6     | obj: 5.068489e+00  (min) | CPU:  48.67 MiB
│  │  ✓ | exa      | time:  80.068 ms | iters: 6     | obj: 5.068489e+00  (min) | CPU:  12.71 MiB
│  └─
└─

┌─ Problem: dielectrophoretic_particle
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  12.591 ms | iters: 12    | obj: 7.811387e+00  (min) | CPU:  17.03 KiB
│  │  ✓ | adnlp    | time:  21.628 ms | iters: 12    | obj: 7.811387e+00  (min) | CPU:   7.29 MiB
│  │  ✓ | exa      | time:   7.997 ms | iters: 12    | obj: 7.811387e+00  (min) | CPU:  72.77 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  28.762 ms | iters: 13    | obj: 7.811324e+00  (min) | CPU:  17.77 KiB
│  │  ✓ | adnlp    | time:  46.891 ms | iters: 13    | obj: 7.811324e+00  (min) | CPU:  19.13 MiB
│  │  ✓ | exa      | time:  18.718 ms | iters: 13    | obj: 7.811324e+00  (min) | CPU: 136.45 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  54.146 ms | iters: 13    | obj: 7.811314e+00  (min) | CPU:  17.77 KiB
│  │  ✓ | adnlp    | time:  96.787 ms | iters: 13    | obj: 7.811314e+00  (min) | CPU:  38.15 MiB
│  │  ✓ | exa      | time:  37.053 ms | iters: 13    | obj: 7.811314e+00  (min) | CPU: 242.14 KiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time: 121.234 ms | iters: 13    | obj: 7.811312e+00  (min) | CPU:  17.77 KiB
│  │  ✓ | adnlp    | time: 214.448 ms | iters: 13    | obj: 7.811312e+00  (min) | CPU:  76.20 MiB
│  │  ✓ | exa      | time:  93.755 ms | iters: 13    | obj: 7.811312e+00  (min) | CPU: 453.08 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  10.987 ms | iters: 13    | obj: 7.811387e+00  (min) | CPU:   6.83 MiB
│  │  ✓ | adnlp    | time:  17.230 ms | iters: 13    | obj: 7.811387e+00  (min) | CPU:   9.15 MiB
│  │  ✓ | exa      | time:   5.843 ms | iters: 13    | obj: 7.811387e+00  (min) | CPU:   1.95 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  29.175 ms | iters: 15    | obj: 7.811325e+00  (min) | CPU:  16.68 MiB
│  │  ✓ | adnlp    | time:  47.718 ms | iters: 15    | obj: 7.811325e+00  (min) | CPU:  25.28 MiB
│  │  ✓ | exa      | time:  16.000 ms | iters: 15    | obj: 7.811325e+00  (min) | CPU:   4.79 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  61.956 ms | iters: 16    | obj: 7.811315e+00  (min) | CPU:  34.32 MiB
│  │  ✓ | adnlp    | time: 100.939 ms | iters: 16    | obj: 7.811315e+00  (min) | CPU:  53.10 MiB
│  │  ✓ | exa      | time:  34.960 ms | iters: 16    | obj: 7.811315e+00  (min) | CPU:   9.63 MiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time: 150.618 ms | iters: 17    | obj: 7.811313e+00  (min) | CPU:  69.65 MiB
│  │  ✓ | adnlp    | time: 239.519 ms | iters: 17    | obj: 7.811313e+00  (min) | CPU: 111.45 MiB
│  │  ✓ | exa      | time:  98.426 ms | iters: 17    | obj: 7.811313e+00  (min) | CPU:  19.47 MiB
│  └─
└─

┌─ Problem: double_oscillator
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:   6.551 ms | iters: 5     | obj: 9.103362e-04  (min) | CPU:   7.89 KiB
│  │  ✓ | adnlp    | time:  12.818 ms | iters: 5     | obj: 9.103362e-04  (min) | CPU:   5.19 MiB
│  │  ✓ | exa      | time:   7.345 ms | iters: 5     | obj: 9.103362e-04  (min) | CPU: 102.86 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  13.898 ms | iters: 5     | obj: 9.109230e-04  (min) | CPU:   7.89 KiB
│  │  ✓ | adnlp    | time:  29.456 ms | iters: 5     | obj: 9.109230e-04  (min) | CPU:  12.91 MiB
│  │  ✓ | exa      | time:  16.475 ms | iters: 5     | obj: 9.109230e-04  (min) | CPU: 213.23 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  26.472 ms | iters: 5     | obj: 9.110069e-04  (min) | CPU:   7.89 KiB
│  │  ✓ | adnlp    | time:  56.813 ms | iters: 5     | obj: 9.110069e-04  (min) | CPU:  25.77 MiB
│  │  ✓ | exa      | time:  31.936 ms | iters: 5     | obj: 9.110069e-04  (min) | CPU: 396.61 KiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time:  50.665 ms | iters: 5     | obj: 9.110279e-04  (min) | CPU:   7.89 KiB
│  │  ✓ | adnlp    | time: 115.637 ms | iters: 5     | obj: 9.110279e-04  (min) | CPU:  51.49 MiB
│  │  ✓ | exa      | time:  62.855 ms | iters: 5     | obj: 9.110279e-04  (min) | CPU: 763.80 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:   4.966 ms | iters: 5     | obj: 9.103362e-04  (min) | CPU:   2.39 MiB
│  │  ✓ | adnlp    | time:  11.718 ms | iters: 5     | obj: 9.103362e-04  (min) | CPU:   6.78 MiB
│  │  ✓ | exa      | time:   5.263 ms | iters: 5     | obj: 9.103362e-04  (min) | CPU:   2.71 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  13.258 ms | iters: 6     | obj: 9.109230e-04  (min) | CPU:   5.77 MiB
│  │  ✓ | adnlp    | time:  33.058 ms | iters: 6     | obj: 9.109230e-04  (min) | CPU:  18.77 MiB
│  │  ✓ | exa      | time:  14.544 ms | iters: 6     | obj: 9.109230e-04  (min) | CPU:   6.72 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  25.909 ms | iters: 6     | obj: 9.110069e-04  (min) | CPU:  11.60 MiB
│  │  ✓ | adnlp    | time:  64.119 ms | iters: 6     | obj: 9.110069e-04  (min) | CPU:  37.36 MiB
│  │  ✓ | exa      | time:  28.400 ms | iters: 6     | obj: 9.110069e-04  (min) | CPU:  13.26 MiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time:  94.339 ms | iters: 6     | obj: 9.110279e-04  (min) | CPU:  23.30 MiB
│  │  ✓ | adnlp    | time: 169.348 ms | iters: 6     | obj: 9.110279e-04  (min) | CPU:  74.57 MiB
│  │  ✓ | exa      | time: 136.648 ms | iters: 6     | obj: 9.110279e-04  (min) | CPU:  26.38 MiB
│  └─
└─

┌─ Problem: ducted_fan
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time: 578.442 ms | iters: 115   | obj: 1.831942e+03  (min) | CPU: 161.69 KiB
│  │  ✓ | adnlp    | time: 612.395 ms | iters: 96    | obj: 1.831942e+03  (min) | CPU: 117.13 MiB
│  │  ✓ | exa      | time: 344.597 ms | iters: 98    | obj: 1.831942e+03  (min) | CPU: 265.86 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:   1.321 s  | iters: 84    | obj: 1.831665e+03  (min) | CPU: 107.80 KiB
│  │  ✓ | adnlp    | time:   2.276 s  | iters: 124   | obj: 1.831665e+03  (min) | CPU: 377.79 MiB
│  │  ✓ | exa      | time:   1.064 s  | iters: 124   | obj: 1.831665e+03  (min) | CPU: 465.70 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:   3.785 s  | iters: 111   | obj: 1.831623e+03  (min) | CPU: 147.39 KiB
│  │  ✓ | adnlp    | time:  25.835 s  | iters: 553   | obj: 1.831623e+03  (min) | CPU:   3.37 GiB
│  │  ✓ | exa      | time:  15.838 s  | iters: 426   | obj: 1.831623e+03  (min) | CPU:   1.11 MiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time:  30.506 s  | iters: 372   | obj: 1.831613e+03  (min) | CPU: 466.73 KiB
│  │  ✗ | adnlp    | time:  93.489 s  | iters: 1000  | obj: 1.831746e+03  (min) | CPU:  11.48 GiB
│  │  ✗ | exa      | time:  83.529 s  | iters: 1000  | obj: 1.832224e+03  (min) | CPU:   2.18 MiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time: 123.499 ms | iters: 41    | obj: 1.831942e+03  (min) | CPU:  23.30 MiB
│  │  ✓ | adnlp    | time: 188.282 ms | iters: 41    | obj: 1.831942e+03  (min) | CPU:  61.09 MiB
│  │  ✓ | exa      | time:  96.165 ms | iters: 41    | obj: 1.831942e+03  (min) | CPU:   9.51 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time: 683.232 ms | iters: 94    | obj: 1.831665e+03  (min) | CPU:  85.70 MiB
│  │  ✓ | adnlp    | time:   1.664 s  | iters: 157   | obj: 1.831665e+03  (min) | CPU: 642.04 MiB
│  │  ✓ | exa      | time: 430.957 ms | iters: 94    | obj: 1.831665e+03  (min) | CPU:  51.82 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:   1.398 s  | iters: 82    | obj: 1.831623e+03  (min) | CPU: 141.86 MiB
│  │  ✗ | adnlp   : ERROR: DomainError(Inf, "sincos(x) is only defined for finite x.")
│  │  ✓ | exa      | time:   1.150 s  | iters: 73    | obj: 1.831623e+03  (min) | CPU:  64.41 MiB
│  │
│  │  N = 2000
│  │  ✗ | jump     | time:   1.754 s  | iters: 52    | obj: 1.242629e+02  (min) | CPU: 297.16 MiB
│  │  ✗ | adnlp   : ERROR: DomainError(Inf, "sincos(x) is only defined for finite x.")
│  │  ✗ | exa      | time:   1.811 s  | iters: 66    | obj: 1.374860e+02  (min) | CPU: 210.48 MiB
│  └─
└─

┌─ Problem: electric_vehicle
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:   4.330 ms | iters: 4     | obj: 1.228699e+03  (min) | CPU:   6.66 KiB
│  │  ✓ | adnlp    | time:   7.073 ms | iters: 4     | obj: 1.228699e+03  (min) | CPU:   2.71 MiB
│  │  ✓ | exa      | time:   3.044 ms | iters: 4     | obj: 1.228699e+03  (min) | CPU:  58.38 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:   9.532 ms | iters: 4     | obj: 1.228599e+03  (min) | CPU:   6.66 KiB
│  │  ✓ | adnlp    | time:  17.454 ms | iters: 4     | obj: 1.228599e+03  (min) | CPU:   6.74 MiB
│  │  ✓ | exa      | time:   6.285 ms | iters: 4     | obj: 1.228599e+03  (min) | CPU: 107.44 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  18.265 ms | iters: 4     | obj: 1.228585e+03  (min) | CPU:   6.66 KiB
│  │  ✓ | adnlp    | time:  33.019 ms | iters: 4     | obj: 1.228585e+03  (min) | CPU:  13.44 MiB
│  │  ✓ | exa      | time:  11.675 ms | iters: 4     | obj: 1.228585e+03  (min) | CPU: 189.62 KiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time:  34.849 ms | iters: 4     | obj: 1.228581e+03  (min) | CPU:   6.66 KiB
│  │  ✓ | adnlp    | time:  64.253 ms | iters: 4     | obj: 1.228581e+03  (min) | CPU:  26.84 MiB
│  │  ✓ | exa      | time:  22.407 ms | iters: 4     | obj: 1.228581e+03  (min) | CPU: 353.69 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:   5.672 ms | iters: 4     | obj: 1.228699e+03  (min) | CPU:   5.62 MiB
│  │  ✓ | adnlp    | time:   6.137 ms | iters: 4     | obj: 1.228699e+03  (min) | CPU:   3.53 MiB
│  │  ✓ | exa      | time:   2.202 ms | iters: 4     | obj: 1.228699e+03  (min) | CPU:   1.33 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  13.530 ms | iters: 4     | obj: 1.228599e+03  (min) | CPU:  13.73 MiB
│  │  ✓ | adnlp    | time:  15.888 ms | iters: 4     | obj: 1.228599e+03  (min) | CPU:   8.66 MiB
│  │  ✓ | exa      | time:   5.238 ms | iters: 4     | obj: 1.228599e+03  (min) | CPU:   3.14 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  26.084 ms | iters: 4     | obj: 1.228585e+03  (min) | CPU:  28.14 MiB
│  │  ✓ | adnlp    | time:  31.046 ms | iters: 4     | obj: 1.228585e+03  (min) | CPU:  17.19 MiB
│  │  ✓ | exa      | time:  10.046 ms | iters: 4     | obj: 1.228585e+03  (min) | CPU:   6.15 MiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time:  68.801 ms | iters: 4     | obj: 1.228581e+03  (min) | CPU:  56.87 MiB
│  │  ✓ | adnlp    | time:  80.502 ms | iters: 4     | obj: 1.228581e+03  (min) | CPU:  34.27 MiB
│  │  ✓ | exa      | time:  39.775 ms | iters: 4     | obj: 1.228581e+03  (min) | CPU:  12.17 MiB
│  └─
└─

┌─ Problem: glider
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time: 350.470 ms | iters: 78    | obj: -1.248896e+03 (min) | CPU:  98.25 KiB
│  │  ✓ | adnlp    | time: 426.605 ms | iters: 78    | obj: -1.248896e+03 (min) | CPU:  76.78 MiB
│  │  ✓ | exa      | time: 228.191 ms | iters: 78    | obj: -1.248896e+03 (min) | CPU: 268.72 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  28.096 s  | iters: 68    | obj: -1.247978e+03 (min) | CPU:  88.16 KiB
│  │  ✓ | adnlp    | time:  28.402 s  | iters: 68    | obj: -1.247978e+03 (min) | CPU: 168.26 MiB
│  │  ✓ | exa      | time:  22.931 s  | iters: 68    | obj: -1.247978e+03 (min) | CPU: 370.61 KiB
│  │
│  │  N = 1000
│  │  ✗ | jump     | time: 521.645 s  | iters: 21    | obj: -1.058884e+03 (min) | CPU:  27.64 KiB
│  │  ✗ | adnlp    | time: 523.806 s  | iters: 21    | obj: -1.058885e+03 (min) | CPU: 108.56 MiB
│  │  ✗ | exa      | time: 510.327 s  | iters: 20    | obj: -1.058875e+03 (min) | CPU: 502.45 KiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time:   1.562 s  | iters: 38    | obj: -1.247987e+03 (min) | CPU:  48.62 KiB
│  │  ✓ | adnlp    | time:   1.813 s  | iters: 38    | obj: -1.247987e+03 (min) | CPU: 378.92 MiB
│  │  ✓ | exa      | time: 966.748 ms | iters: 38    | obj: -1.247987e+03 (min) | CPU: 888.20 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time: 414.842 ms | iters: 106   | obj: -1.248896e+03 (min) | CPU:  58.00 MiB
│  │  ✓ | adnlp    | time: 463.597 ms | iters: 83    | obj: -1.248896e+03 (min) | CPU:  95.23 MiB
│  │  ✓ | exa      | time: 169.078 ms | iters: 86    | obj: -1.248896e+03 (min) | CPU:  12.60 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:   1.708 s  | iters: 175   | obj: -1.247978e+03 (min) | CPU: 160.81 MiB
│  │  ✓ | adnlp    | time:   2.357 s  | iters: 210   | obj: -1.247978e+03 (min) | CPU: 568.66 MiB
│  │  ✓ | exa      | time: 961.809 ms | iters: 194   | obj: -1.247978e+03 (min) | CPU:  52.99 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:   1.934 s  | iters: 97    | obj: -1.247985e+03 (min) | CPU: 285.80 MiB
│  │  ✓ | adnlp    | time:   2.458 s  | iters: 102   | obj: -1.247985e+03 (min) | CPU: 562.93 MiB
│  │  ✓ | exa      | time:   1.457 s  | iters: 150   | obj: -1.247985e+03 (min) | CPU:  84.72 MiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time:   2.742 s  | iters: 58    | obj: -1.247987e+03 (min) | CPU: 536.37 MiB
│  │  ✓ | adnlp    | time:   7.447 s  | iters: 139   | obj: -1.247987e+03 (min) | CPU:   1.47 GiB
│  │  ✓ | exa      | time:   2.123 s  | iters: 86    | obj: -1.247987e+03 (min) | CPU: 117.35 MiB
│  └─
└─

┌─ Problem: insurance
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time: 270.431 ms | iters: 91    | obj: -2.058581e+00 (min) | CPU: 118.55 KiB
│  │  ✓ | adnlp    | time: 436.605 ms | iters: 90    | obj: -2.058581e+00 (min) | CPU: 121.34 MiB
│  │  ✓ | exa      | time: 199.002 ms | iters: 90    | obj: -2.058581e+00 (min) | CPU: 246.08 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time: 717.724 ms | iters: 101   | obj: -2.059214e+00 (min) | CPU: 127.14 KiB
│  │  ✓ | adnlp    | time: 953.037 ms | iters: 87    | obj: -2.059208e+00 (min) | CPU: 283.31 MiB
│  │  ✓ | exa      | time: 514.562 ms | iters: 97    | obj: -2.059214e+00 (min) | CPU: 429.19 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:   1.628 s  | iters: 119   | obj: -2.059511e+00 (min) | CPU: 150.61 KiB
│  │  ✓ | adnlp    | time:   3.282 s  | iters: 140   | obj: -2.059511e+00 (min) | CPU: 909.58 MiB
│  │  ✓ | exa      | time:   1.932 s  | iters: 149   | obj: -2.059511e+00 (min) | CPU: 785.94 KiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time:   5.674 s  | iters: 216   | obj: -2.059700e+00 (min) | CPU: 275.09 KiB
│  │  ✓ | adnlp    | time:   9.624 s  | iters: 193   | obj: -2.059700e+00 (min) | CPU:   2.44 GiB
│  │  ✓ | exa      | time:   5.242 s  | iters: 223   | obj: -2.059700e+00 (min) | CPU:   1.43 MiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time: 313.166 ms | iters: 120   | obj: -2.058581e+00 (min) | CPU:  38.18 MiB
│  │  ✓ | adnlp    | time: 485.208 ms | iters: 120   | obj: -2.058581e+00 (min) | CPU: 200.33 MiB
│  │  ✓ | exa      | time: 208.163 ms | iters: 120   | obj: -2.058581e+00 (min) | CPU:  26.32 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:   1.857 s  | iters: 254   | obj: -2.059213e+00 (min) | CPU: 159.68 MiB
│  │  ✓ | adnlp    | time:   4.108 s  | iters: 363   | obj: -2.059213e+00 (min) | CPU:   1.31 GiB
│  │  ✓ | exa      | time:   1.475 s  | iters: 264   | obj: -2.059213e+00 (min) | CPU: 118.28 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:   6.229 s  | iters: 494   | obj: -2.059510e+00 (min) | CPU: 481.29 MiB
│  │  ✓ | adnlp    | time:  15.193 s  | iters: 635   | obj: -2.059510e+00 (min) | CPU:   4.52 GiB
│  │  ✓ | exa      | time:   7.993 s  | iters: 646   | obj: -2.059510e+00 (min) | CPU: 550.01 MiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time:   4.701 s  | iters: 171   | obj: -2.059697e+00 (min) | CPU: 444.56 MiB
│  │  ✓ | adnlp    | time:   8.748 s  | iters: 171   | obj: -2.059697e+00 (min) | CPU:   2.56 GiB
│  │  ✓ | exa      | time:   4.592 s  | iters: 171   | obj: -2.059697e+00 (min) | CPU: 321.33 MiB
│  └─
└─

┌─ Problem: jackson
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  47.707 ms | iters: 42    | obj: -1.918613e-01 (min) | CPU:  55.06 KiB
│  │  ✓ | adnlp    | time:  70.266 ms | iters: 42    | obj: -1.918613e-01 (min) | CPU:  10.80 MiB
│  │  ✓ | exa      | time:  49.014 ms | iters: 42    | obj: -1.918613e-01 (min) | CPU: 124.73 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time: 147.754 ms | iters: 58    | obj: -1.918219e-01 (min) | CPU:  73.81 KiB
│  │  ✓ | adnlp    | time: 245.760 ms | iters: 58    | obj: -1.918219e-01 (min) | CPU:  36.18 MiB
│  │  ✓ | exa      | time: 157.634 ms | iters: 58    | obj: -1.918219e-01 (min) | CPU: 227.05 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  88.192 ms | iters: 21    | obj: -1.918162e-01 (min) | CPU:  27.64 KiB
│  │  ✓ | adnlp    | time: 159.305 ms | iters: 21    | obj: -1.918162e-01 (min) | CPU:  27.46 MiB
│  │  ✓ | exa      | time:  90.671 ms | iters: 21    | obj: -1.918162e-01 (min) | CPU: 333.11 KiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time: 144.711 ms | iters: 19    | obj: -1.918148e-01 (min) | CPU:  25.17 KiB
│  │  ✓ | adnlp    | time: 294.715 ms | iters: 19    | obj: -1.918148e-01 (min) | CPU:  50.03 MiB
│  │  ✓ | exa      | time: 153.214 ms | iters: 19    | obj: -1.918148e-01 (min) | CPU: 620.11 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  28.792 ms | iters: 40    | obj: -1.918610e-01 (min) | CPU:   6.94 MiB
│  │  ✓ | adnlp    | time:  58.243 ms | iters: 40    | obj: -1.918610e-01 (min) | CPU:  15.86 MiB
│  │  ✓ | exa      | time:  30.020 ms | iters: 40    | obj: -1.918610e-01 (min) | CPU:   6.74 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  31.314 ms | iters: 22    | obj: -1.918217e-01 (min) | CPU:  12.71 MiB
│  │  ✓ | adnlp    | time:  69.667 ms | iters: 22    | obj: -1.918217e-01 (min) | CPU:  22.99 MiB
│  │  ✓ | exa      | time:  31.027 ms | iters: 22    | obj: -1.918217e-01 (min) | CPU:  11.28 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  62.844 ms | iters: 23    | obj: -1.918159e-01 (min) | CPU:  25.89 MiB
│  │  ✓ | adnlp    | time: 139.426 ms | iters: 23    | obj: -1.918159e-01 (min) | CPU:  47.41 MiB
│  │  ✓ | exa      | time:  63.358 ms | iters: 23    | obj: -1.918159e-01 (min) | CPU:  22.83 MiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time: 160.354 ms | iters: 23    | obj: -1.918142e-01 (min) | CPU:  51.82 MiB
│  │  ✓ | adnlp    | time: 330.711 ms | iters: 23    | obj: -1.918142e-01 (min) | CPU:  94.51 MiB
│  │  ✓ | exa      | time: 180.301 ms | iters: 23    | obj: -1.918142e-01 (min) | CPU:  45.39 MiB
│  └─
└─

┌─ Problem: mountain_car
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  48.042 ms | iters: 41    | obj: 1.023976e+02  (min) | CPU:  52.33 KiB
│  │  ✓ | adnlp    | time:  63.829 ms | iters: 41    | obj: 1.023976e+02  (min) | CPU:  10.43 MiB
│  │  ✓ | exa      | time:  37.657 ms | iters: 41    | obj: 1.023976e+02  (min) | CPU: 100.95 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time: 168.079 ms | iters: 68    | obj: 1.023699e+02  (min) | CPU:  88.41 KiB
│  │  ✓ | adnlp    | time: 233.596 ms | iters: 69    | obj: 1.023699e+02  (min) | CPU:  43.15 MiB
│  │  ✓ | exa      | time: 129.106 ms | iters: 68    | obj: 1.023699e+02  (min) | CPU: 194.09 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time: 294.113 ms | iters: 64    | obj: 1.023682e+02  (min) | CPU:  80.72 KiB
│  │  ✓ | adnlp    | time: 421.401 ms | iters: 64    | obj: 1.023682e+02  (min) | CPU:  78.76 MiB
│  │  ✓ | exa      | time: 206.601 ms | iters: 62    | obj: 1.023682e+02  (min) | CPU: 291.36 KiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time: 902.533 ms | iters: 82    | obj: 1.023677e+02  (min) | CPU: 102.94 KiB
│  │  ✓ | adnlp    | time:   1.225 s  | iters: 83    | obj: 1.023677e+02  (min) | CPU: 202.50 MiB
│  │  ✓ | exa      | time: 663.393 ms | iters: 82    | obj: 1.023677e+02  (min) | CPU: 522.92 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  41.682 ms | iters: 49    | obj: 1.023810e+02  (min) | CPU:   9.76 MiB
│  │  ✓ | adnlp    | time:  64.030 ms | iters: 49    | obj: 1.023810e+02  (min) | CPU:  17.45 MiB
│  │  ✓ | exa      | time:  31.210 ms | iters: 49    | obj: 1.023810e+02  (min) | CPU:   5.51 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  94.376 ms | iters: 51    | obj: 1.023699e+02  (min) | CPU:  23.86 MiB
│  │  ✗ | adnlp   : ERROR: DomainError(Inf, "sincos(x) is only defined for finite x.")
│  │  ✓ | exa      | time:  66.295 ms | iters: 51    | obj: 1.023699e+02  (min) | CPU:  13.41 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time: 293.286 ms | iters: 74    | obj: 1.023682e+02  (min) | CPU:  59.75 MiB
│  │  ✗ | adnlp   : ERROR: DomainError(Inf, "sincos(x) is only defined for finite x.")
│  │  ✓ | exa      | time: 200.854 ms | iters: 74    | obj: 1.023682e+02  (min) | CPU:  37.98 MiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time:   9.708 s  | iters: 974   | obj: 1.023678e+02  (min) | CPU:   1.00 GiB
│  │  ✗ | adnlp    | time:  12.763 s  | iters: 1000  | obj: 1.030596e+02  (min) | CPU:   3.61 GiB
│  │  ✗ | exa      | time:   6.954 s  | iters: 1000  | obj: 1.145459e+02  (min) | CPU: 989.76 MiB
│  └─
└─

┌─ Problem: robbins
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  14.891 ms | iters: 19    | obj: 1.962626e+01  (min) | CPU:  12.16 KiB
│  │  ✓ | adnlp    | time:  24.047 ms | iters: 19    | obj: 1.962626e+01  (min) | CPU:   3.50 MiB
│  │  ✓ | exa      | time:  14.088 ms | iters: 19    | obj: 1.962626e+01  (min) | CPU:  95.61 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  32.547 ms | iters: 18    | obj: 1.946663e+01  (min) | CPU:  11.16 KiB
│  │  ✓ | adnlp    | time:  55.188 ms | iters: 18    | obj: 1.946663e+01  (min) | CPU:   8.08 MiB
│  │  ✓ | exa      | time:  31.745 ms | iters: 18    | obj: 1.946663e+01  (min) | CPU: 180.98 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  89.172 ms | iters: 27    | obj: 1.944019e+01  (min) | CPU:  15.66 KiB
│  │  ✓ | adnlp    | time: 147.388 ms | iters: 27    | obj: 1.944019e+01  (min) | CPU:  23.33 MiB
│  │  ✓ | exa      | time:  88.906 ms | iters: 27    | obj: 1.944019e+01  (min) | CPU: 334.70 KiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time: 198.687 ms | iters: 30    | obj: 1.943391e+01  (min) | CPU:  17.16 KiB
│  │  ✓ | adnlp    | time: 322.854 ms | iters: 30    | obj: 1.943391e+01  (min) | CPU:  51.38 MiB
│  │  ✓ | exa      | time: 206.006 ms | iters: 30    | obj: 1.943391e+01  (min) | CPU: 626.86 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  15.586 ms | iters: 34    | obj: 1.962626e+01  (min) | CPU:   2.81 MiB
│  │  ✓ | adnlp    | time:  31.795 ms | iters: 34    | obj: 1.962626e+01  (min) | CPU:   8.26 MiB
│  │  ✓ | exa      | time:  15.838 ms | iters: 34    | obj: 1.962626e+01  (min) | CPU:   2.65 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  33.164 ms | iters: 29    | obj: 1.946663e+01  (min) | CPU:   5.87 MiB
│  │  ✓ | adnlp    | time:  68.920 ms | iters: 31    | obj: 1.946663e+01  (min) | CPU:  18.72 MiB
│  │  ✓ | exa      | time:  33.499 ms | iters: 29    | obj: 1.946663e+01  (min) | CPU:   5.67 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time: 108.136 ms | iters: 50    | obj: 1.944019e+01  (min) | CPU:  16.03 MiB
│  │  ✓ | adnlp    | time: 217.732 ms | iters: 50    | obj: 1.944019e+01  (min) | CPU:  56.11 MiB
│  │  ✓ | exa      | time: 109.552 ms | iters: 50    | obj: 1.944019e+01  (min) | CPU:  15.45 MiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time: 239.620 ms | iters: 43    | obj: 1.943392e+01  (min) | CPU:  28.89 MiB
│  │  ✓ | adnlp    | time: 444.274 ms | iters: 44    | obj: 1.943392e+01  (min) | CPU:  99.55 MiB
│  │  ✓ | exa      | time: 265.859 ms | iters: 43    | obj: 1.943392e+01  (min) | CPU:  27.55 MiB
│  └─
└─

┌─ Problem: robot
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  60.660 ms | iters: 18    | obj: 9.141395e+00  (min) | CPU:  23.94 KiB
│  │  ✓ | adnlp    | time:  90.254 ms | iters: 18    | obj: 9.141395e+00  (min) | CPU:  12.91 MiB
│  │  ✓ | exa      | time:  42.862 ms | iters: 18    | obj: 9.141395e+00  (min) | CPU: 181.27 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time: 146.841 ms | iters: 17    | obj: 9.140991e+00  (min) | CPU:  22.70 KiB
│  │  ✓ | adnlp    | time: 248.662 ms | iters: 17    | obj: 9.140991e+00  (min) | CPU:  30.39 MiB
│  │  ✓ | exa      | time: 105.350 ms | iters: 17    | obj: 9.140991e+00  (min) | CPU: 369.86 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time: 328.863 ms | iters: 19    | obj: 9.140931e+00  (min) | CPU:  25.17 KiB
│  │  ✓ | adnlp    | time: 537.366 ms | iters: 19    | obj: 9.140931e+00  (min) | CPU:  67.10 MiB
│  │  ✓ | exa      | time: 286.265 ms | iters: 19    | obj: 9.140931e+00  (min) | CPU: 688.55 KiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time: 745.333 ms | iters: 21    | obj: 9.140917e+00  (min) | CPU:  27.64 KiB
│  │  ✓ | adnlp    | time:   1.141 s  | iters: 21    | obj: 9.140917e+00  (min) | CPU: 146.97 MiB
│  │  ✓ | exa      | time: 651.360 ms | iters: 21    | obj: 9.140917e+00  (min) | CPU:   1.29 MiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  49.179 ms | iters: 16    | obj: 9.141397e+00  (min) | CPU:  20.27 MiB
│  │  ✓ | adnlp    | time:  73.858 ms | iters: 16    | obj: 9.141397e+00  (min) | CPU:  16.98 MiB
│  │  ✓ | exa      | time:  32.411 ms | iters: 16    | obj: 9.141397e+00  (min) | CPU:   6.61 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time: 181.836 ms | iters: 25    | obj: 9.140992e+00  (min) | CPU:  54.52 MiB
│  │  ✓ | adnlp    | time: 307.383 ms | iters: 25    | obj: 9.140992e+00  (min) | CPU:  61.04 MiB
│  │  ✓ | exa      | time: 126.383 ms | iters: 25    | obj: 9.140992e+00  (min) | CPU:  20.43 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time: 397.667 ms | iters: 23    | obj: 9.140939e+00  (min) | CPU: 108.51 MiB
│  │  ✓ | adnlp    | time: 554.552 ms | iters: 23    | obj: 9.140939e+00  (min) | CPU: 114.69 MiB
│  │  ✓ | exa      | time: 347.159 ms | iters: 23    | obj: 9.140939e+00  (min) | CPU:  39.43 MiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time:   1.007 s  | iters: 30    | obj: 9.140922e+00  (min) | CPU: 230.41 MiB
│  │  ✓ | adnlp    | time:   1.508 s  | iters: 30    | obj: 9.140922e+00  (min) | CPU: 287.25 MiB
│  │  ✓ | exa      | time: 919.122 ms | iters: 30    | obj: 9.140922e+00  (min) | CPU:  91.18 MiB
│  └─
└─

┌─ Problem: rocket
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  26.460 ms | iters: 18    | obj: -1.012836e+00 (min) | CPU:  23.94 KiB
│  │  ✓ | adnlp    | time:  56.519 ms | iters: 18    | obj: -1.012836e+00 (min) | CPU:  16.91 MiB
│  │  ✓ | exa      | time:  17.898 ms | iters: 18    | obj: -1.012836e+00 (min) | CPU: 101.02 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  74.181 ms | iters: 21    | obj: -1.012837e+00 (min) | CPU:  27.64 KiB
│  │  ✓ | adnlp    | time: 156.945 ms | iters: 21    | obj: -1.012837e+00 (min) | CPU:  48.36 MiB
│  │  ✓ | exa      | time:  48.284 ms | iters: 21    | obj: -1.012837e+00 (min) | CPU: 190.73 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time: 163.639 ms | iters: 24    | obj: -1.012837e+00 (min) | CPU:  31.34 KiB
│  │  ✓ | adnlp    | time: 358.778 ms | iters: 24    | obj: -1.012837e+00 (min) | CPU: 109.19 MiB
│  │  ✓ | exa      | time: 109.175 ms | iters: 24    | obj: -1.012837e+00 (min) | CPU: 338.45 KiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time: 325.086 ms | iters: 23    | obj: -1.012837e+00 (min) | CPU:  30.11 KiB
│  │  ✓ | adnlp    | time: 723.662 ms | iters: 23    | obj: -1.012837e+00 (min) | CPU: 209.71 MiB
│  │  ✓ | exa      | time: 250.037 ms | iters: 23    | obj: -1.012837e+00 (min) | CPU: 626.48 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  26.676 ms | iters: 21    | obj: -1.012835e+00 (min) | CPU:  12.96 MiB
│  │  ✓ | adnlp    | time:  53.576 ms | iters: 21    | obj: -1.012835e+00 (min) | CPU:  22.84 MiB
│  │  ✓ | exa      | time:  14.650 ms | iters: 21    | obj: -1.012835e+00 (min) | CPU:   4.41 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  67.872 ms | iters: 22    | obj: -1.012835e+00 (min) | CPU:  32.06 MiB
│  │  ✓ | adnlp    | time: 169.798 ms | iters: 22    | obj: -1.012835e+00 (min) | CPU:  58.83 MiB
│  │  ✓ | exa      | time:  38.202 ms | iters: 22    | obj: -1.012835e+00 (min) | CPU:  10.86 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time: 151.962 ms | iters: 24    | obj: -1.012836e+00 (min) | CPU:  65.45 MiB
│  │  ✓ | adnlp    | time: 316.778 ms | iters: 24    | obj: -1.012836e+00 (min) | CPU: 126.65 MiB
│  │  ✓ | exa      | time:  84.893 ms | iters: 24    | obj: -1.012836e+00 (min) | CPU:  22.40 MiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time: 290.673 ms | iters: 21    | obj: -1.012830e+00 (min) | CPU: 128.68 MiB
│  │  ✓ | adnlp    | time: 585.030 ms | iters: 21    | obj: -1.012830e+00 (min) | CPU: 224.75 MiB
│  │  ✓ | exa      | time: 192.521 ms | iters: 21    | obj: -1.012830e+00 (min) | CPU:  41.75 MiB
│  └─
└─

┌─ Problem: space_shuttle
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time: 906.398 ms | iters: 111   | obj: -3.853783e-01 (min) | CPU: 138.98 KiB
│  │  ✓ | adnlp    | time:   1.114 s  | iters: 101   | obj: -5.958694e-01 (min) | CPU: 172.82 MiB
│  │  ✓ | exa      | time: 474.205 ms | iters: 101   | obj: -5.958694e-01 (min) | CPU: 309.17 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:   2.297 s  | iters: 115   | obj: -5.958750e-01 (min) | CPU: 143.67 KiB
│  │  ✓ | adnlp    | time:   2.955 s  | iters: 116   | obj: -5.958750e-01 (min) | CPU: 492.38 MiB
│  │  ✓ | exa      | time:   1.314 s  | iters: 116   | obj: -5.958750e-01 (min) | CPU: 498.08 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:   3.337 s  | iters: 73    | obj: -3.050197e-01 (min) | CPU:  95.56 KiB
│  │  ✓ | adnlp    | time:   6.902 s  | iters: 125   | obj: -5.958758e-01 (min) | CPU:   1.03 GiB
│  │  ✓ | exa      | time:   4.487 s  | iters: 127   | obj: -5.958758e-01 (min) | CPU: 798.48 KiB
│  │
│  │  N = 2000
│  │  ✗ | jump     | time: 501.367 s  | iters: 909   | obj: -8.229649e-03 (min) | CPU:   2.03 MiB
│  │  ✓ | adnlp    | time:  10.295 s  | iters: 94    | obj: -5.958760e-01 (min) | CPU:   1.56 GiB
│  │  ✓ | exa      | time:  13.576 s  | iters: 145   | obj: -5.958760e-01 (min) | CPU:   1.36 MiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time: 766.202 ms | iters: 113   | obj: -3.854923e-01 (min) | CPU: 101.75 MiB
│  │  ✓ | adnlp    | time:   2.132 s  | iters: 205   | obj: -5.958694e-01 (min) | CPU: 409.08 MiB
│  │  ✓ | exa      | time: 663.862 ms | iters: 208   | obj: -5.958694e-01 (min) | CPU:  62.50 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:   1.281 s  | iters: 77    | obj: -5.958750e-01 (min) | CPU: 230.97 MiB
│  │  ✓ | adnlp    | time:   4.158 s  | iters: 166   | obj: -5.958750e-01 (min) | CPU: 847.91 MiB
│  │  ✓ | exa      | time:   1.361 s  | iters: 166   | obj: -5.958750e-01 (min) | CPU: 123.22 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  32.575 s  | iters: 480   | obj: -3.050197e-01 (min) | CPU:   1.24 GiB
│  │  ✓ | adnlp    | time:   5.133 s  | iters: 96    | obj: -5.958758e-01 (min) | CPU: 985.88 MiB
│  │  ✓ | exa      | time:   2.069 s  | iters: 95    | obj: -5.958758e-01 (min) | CPU: 159.66 MiB
│  │
│  │  N = 2000
│  │  ✗ | jump     | time:  73.980 s  | iters: 537   | obj: -3.343345e-01 (min) | CPU:   3.02 GiB
│  │  ✗ | adnlp   : ERROR: DomainError(Inf, "sincos(x) is only defined for finite x.")
│  │  ✓ | exa      | time:   7.602 s  | iters: 161   | obj: -5.958760e-01 (min) | CPU: 432.80 MiB
│  └─
└─

┌─ Problem: steering
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  15.237 ms | iters: 8     | obj: 5.545770e-01  (min) | CPU:  11.59 KiB
│  │  ✓ | adnlp    | time:  19.208 ms | iters: 8     | obj: 5.545770e-01  (min) | CPU:   4.89 MiB
│  │  ✓ | exa      | time:  11.664 ms | iters: 8     | obj: 5.545770e-01  (min) | CPU: 102.95 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  36.918 ms | iters: 8     | obj: 5.545719e-01  (min) | CPU:  11.59 KiB
│  │  ✓ | adnlp    | time:  46.355 ms | iters: 8     | obj: 5.545719e-01  (min) | CPU:  12.13 MiB
│  │  ✓ | exa      | time:  29.995 ms | iters: 8     | obj: 5.545719e-01  (min) | CPU: 213.33 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  83.419 ms | iters: 8     | obj: 5.545711e-01  (min) | CPU:  11.59 KiB
│  │  ✓ | adnlp    | time: 103.758 ms | iters: 8     | obj: 5.545711e-01  (min) | CPU:  24.19 MiB
│  │  ✓ | exa      | time:  69.884 ms | iters: 8     | obj: 5.545711e-01  (min) | CPU: 396.70 KiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time: 180.225 ms | iters: 8     | obj: 5.545709e-01  (min) | CPU:  11.59 KiB
│  │  ✓ | adnlp    | time: 223.082 ms | iters: 8     | obj: 5.545709e-01  (min) | CPU:  48.33 MiB
│  │  ✓ | exa      | time: 173.779 ms | iters: 8     | obj: 5.545709e-01  (min) | CPU: 763.89 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:  18.066 ms | iters: 11    | obj: 5.545770e-01  (min) | CPU:   8.77 MiB
│  │  ✓ | adnlp    | time:  20.788 ms | iters: 11    | obj: 5.545770e-01  (min) | CPU:   8.31 MiB
│  │  ✓ | exa      | time:  10.987 ms | iters: 11    | obj: 5.545770e-01  (min) | CPU:   2.35 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  51.568 ms | iters: 13    | obj: 5.545719e-01  (min) | CPU:  22.17 MiB
│  │  ✓ | adnlp    | time:  59.853 ms | iters: 13    | obj: 5.545719e-01  (min) | CPU:  23.19 MiB
│  │  ✓ | exa      | time:  32.416 ms | iters: 13    | obj: 5.545719e-01  (min) | CPU:   5.89 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time: 113.552 ms | iters: 14    | obj: 5.545711e-01  (min) | CPU:  45.15 MiB
│  │  ✗ | adnlp   : ERROR: DomainError(-Inf, "sincos(x) is only defined for finite x.")
│  │  ✓ | exa      | time:  75.135 ms | iters: 14    | obj: 5.545711e-01  (min) | CPU:  11.87 MiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time: 275.347 ms | iters: 14    | obj: 5.545709e-01  (min) | CPU:  90.96 MiB
│  │  ✓ | adnlp    | time: 312.391 ms | iters: 14    | obj: 5.545709e-01  (min) | CPU:  97.52 MiB
│  │  ✓ | exa      | time: 212.689 ms | iters: 14    | obj: 5.545709e-01  (min) | CPU:  23.54 MiB
│  └─
└─

┌─ Problem: vanderpol
│
├──┬ Solver: ipopt, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:   3.290 ms | iters: 3     | obj: 1.047836e+00  (min) | CPU:   5.42 KiB
│  │  ✓ | adnlp    | time:   5.096 ms | iters: 3     | obj: 1.047836e+00  (min) | CPU: 955.09 KiB
│  │  ✓ | exa      | time:   2.467 ms | iters: 3     | obj: 1.047836e+00  (min) | CPU:  53.50 KiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:   6.974 ms | iters: 3     | obj: 1.047812e+00  (min) | CPU:   5.42 KiB
│  │  ✓ | adnlp    | time:  11.137 ms | iters: 3     | obj: 1.047812e+00  (min) | CPU:   2.30 MiB
│  │  ✓ | exa      | time:   5.023 ms | iters: 3     | obj: 1.047812e+00  (min) | CPU: 102.56 KiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  13.179 ms | iters: 3     | obj: 1.047808e+00  (min) | CPU:   5.42 KiB
│  │  ✓ | adnlp    | time:  21.324 ms | iters: 3     | obj: 1.047808e+00  (min) | CPU:   4.58 MiB
│  │  ✓ | exa      | time:   9.390 ms | iters: 3     | obj: 1.047808e+00  (min) | CPU: 184.75 KiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time:  25.386 ms | iters: 3     | obj: 1.047807e+00  (min) | CPU:   5.42 KiB
│  │  ✓ | adnlp    | time:  42.085 ms | iters: 3     | obj: 1.047807e+00  (min) | CPU:   9.13 MiB
│  │  ✓ | exa      | time:  18.126 ms | iters: 3     | obj: 1.047807e+00  (min) | CPU: 348.81 KiB
│  └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│  │
│  │  N = 200
│  │  ✓ | jump     | time:   4.764 ms | iters: 3     | obj: 1.047836e+00  (min) | CPU:   5.04 MiB
│  │  ✓ | adnlp    | time:   4.859 ms | iters: 3     | obj: 1.047836e+00  (min) | CPU:   1.69 MiB
│  │  ✓ | exa      | time:   1.851 ms | iters: 3     | obj: 1.047836e+00  (min) | CPU:   1.33 MiB
│  │
│  │  N = 500
│  │  ✓ | jump     | time:  10.769 ms | iters: 3     | obj: 1.047812e+00  (min) | CPU:  12.23 MiB
│  │  ✓ | adnlp    | time:  11.182 ms | iters: 3     | obj: 1.047812e+00  (min) | CPU:   4.08 MiB
│  │  ✓ | exa      | time:   4.385 ms | iters: 3     | obj: 1.047812e+00  (min) | CPU:   3.15 MiB
│  │
│  │  N = 1000
│  │  ✓ | jump     | time:  21.722 ms | iters: 3     | obj: 1.047808e+00  (min) | CPU:  24.67 MiB
│  │  ✓ | adnlp    | time:  22.482 ms | iters: 3     | obj: 1.047808e+00  (min) | CPU:   8.06 MiB
│  │  ✓ | exa      | time:   8.462 ms | iters: 3     | obj: 1.047808e+00  (min) | CPU:   6.19 MiB
│  │
│  │  N = 2000
│  │  ✓ | jump     | time:  56.214 ms | iters: 3     | obj: 1.047807e+00  (min) | CPU:  49.91 MiB
│  │  ✓ | adnlp    | time:  56.057 ms | iters: 3     | obj: 1.047807e+00  (min) | CPU:  16.02 MiB
│  │  ✓ | exa      | time:  35.517 ms | iters: 3     | obj: 1.047807e+00  (min) | CPU:  12.27 MiB
│  └─
└─